Search

Your search keyword '"Cheng, Jipeng"' showing total 231 results
Start Over Author "Cheng, Jipeng" Publication Year Range Last 10 years
231 results on '"Cheng, Jipeng"'

1. Generalized Bigraded Toda Hierarchy

Author

Liu, Yue, Yan, Xingjie, Wang, Jinbiao, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35Q53, 37K10, 35Q51
Abstract

Bigraded Toda hierarchy $L_1^M(n)=L_2^N(n)$ is generalized to $L_1^M(n)=L_2^{N}(n)+\sum_{j\in \mathbb Z}\sum_{i=1}^{m}q^{(i)}_n\Lambda^jr^{(i)}_{n+1}$, which is the analogue of the famous constrained KP hierarchy $L^{k}= (L^{k})_{\geq0}+\sum_{i=1}^{m}q_{i}\partial^{-1}r_i$. It is known that different bosonizations of fermionic KP hierarchy will give rise to different kinds of integrable hierarchies. Starting from the fermionic form of constrained KP hierarchy, bilinear equation of this generalized bigraded Toda hierarchy (GBTH) are derived by using 2--component boson--fermion correspondence. Next based upon this, the Lax structure of GBTH is obtained. Conversely, we also derive bilinear equation of GBTH from the corresponding Lax structure., Comment: 16 pages

Published
2024

2. Lax structure and tau function for large BKP hierarchy

Author

Guan, Wenchuang, Wang, Shen, Rui, Wenjuan, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35Q53, 37K10, 37K40
Abstract

In this paper, we mainly investigate Lax structure and tau function for the large BKP hierarchy, which is also known as Toda hierarchy of B type, or Hirota--Ohta--coupled KP hierarchy, or Pfaff lattice. Firstly, the large BKP hierarchy can be derived from fermionic BKP hierarchy by using a special bosonization, which is presented in the form of bilinear equation. Then from bilinear equation, the corresponding Lax equation is given, where in particular the relation of flow generator with Lax operator is obtained. Also starting from Lax equation, the corresponding bilinear equation and existence of tau function are discussed. After that, large BKP hierarchy is viewed as sub--hierarchy of modified Toda (mToda) hierarchy, also called two--component first modified KP hierarchy. Finally by using two basic Miura transformations from mToda to Toda, we understand two typical relations between large BKP tau function $\tau_n(\mathbf{t})$ and Toda tau function $\tau_n^{\rm Toda}(\mathbf{t},-\mathbf{t})$, that is, $\tau_n^{{\rm Toda}}(\mathbf{t},-{\mathbf{t}})=\tau_n(\mathbf{t})\tau_{n-1}(\mathbf{t})$ and $\tau_n^{{\rm Toda}}(\mathbf{t},-{\mathbf{t}})=\tau_n^2(\mathbf{t})$. Further we find $\big(\tau_n(\mathbf{t})\tau_{n-1}(\mathbf{t}),\tau_n^2(\mathbf{t})\big)$ satisfies bilinear equation of mToda hierarchy., Comment: 30 pages

Published
2024

3. Bosonic construction of CKP tau function

Author

Wang, Shen, Guan, Wenchuang, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics
Abstract

The CKP tau function has been an important topic in mathematical physics. In this paper, the inverse of vacuum expectation value of exponential of certain bosonic fields, is showed to be the CKP tau function given by Chang and Wu, in the language of CKP Darboux transformation. In fact, computation of the above vacuum expectation value is usually quite difficult, since the square of bosonic fields is usually not zero. Here the corresponding vacuum expectation value is understood as successive application of CKP Darboux transformations, so that we can compute it by using the methods of integrable systems, where a useful formula is given. For applications, we construct solutions of KdV hierarchy by vacuum expectation value of bosonic fields, by the fact that KdV hierarchy is the 2-reduction of CKP hierarchy., Comment: 31 pages

Published
2024

4. On the c-k constrained KP and BKP hierarchies: the Fermionic pictures, solutions and additional symmetries

Author

Tian, Kelei, Li, Song, Yi, Ge, Xu, Ying, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics
Abstract

In this paper, we study two generalized constrained integrable hierarchies, which are called the $c$-$k$ constrained KP and BKP hierarchies. The Fermionic picture of the $c$-$k$ constrained KP hierarchy is given. We give some solutions for the $c$-$k$ constrained KP hierarchy by using the free Fermion operators and define its additional symmetries. Its additional flows form a subalgebra of the Virasoro algebra. Furthermore, the additional flows acting on eigenfunctions $q_{i}(t)$ and adjoint eigenfunctions $r_{i}(t)$ of the $c$-$k$ constrained KP hierarchy are presented. Next, we define the $c$-$k$ constrained BKP hierarchy and obtain its bilinear identity and solutions. The algebra formed by the additional symmetric flow of the $c$-$k$ constrained BKP hierarchy that we defined is still a subalgebra of the Virasoro algebra and it is a subalgebra of the algebra formed by the additional flows of the $c$-$k$ constrained KP hierarchy.

Published
2024

5. Equivalence of two constructions for $\widehat{sl}_2$--integrable hierarchies

Author

Dang, Panpan, Li, Yajuan, Zhang, Yuanyuan, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35Q53, 37K10, 35Q51, 17B65, 17B69, 17B80
Abstract

In this paper, we investigate the equivalence of Date--Jimbo--Kashiwara--Miwa (DJKM) construction and Kac--Wakimoto (KW) construction for $\widehat{sl}_2$--integrable hierarchies. DJKM method has gained great success in constructions of integrable hierarchies corresponding to classical ABCD affine Lie algebras, while the KW method is more applicable, which can be even used in exceptional EFG affine Lie algebras. But in KW construction, it is quite difficult to obtain Lax equations for the corresponding integrable hierarchies, while in DJKM construction, one can derive Lax structures for many integrable hierarchies. It is still an open problem for the derivation of Lax equations from bilinear equations in KW construction. Therefore if we can show the equivalent DJKM construction for the integrable hierarchies derived by the KW construction, then it will be helpful to get corresponding Lax structures. Here the equivalence of DJKM and KW methods is showed in the $\widehat{sl}_2$--integrable hierarchy for principal and homogeneous representations by using the language of the lattice vertex algebras., Comment: 25 pages

Published
2023

8. CKP hierarchy and free Bosons

Author

Yang, Yi, Geng, Lumin, and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35Q53, 37K10, 37K40
Abstract

In this paper, free Bosons are used to study some integrable properties of the CKP hierarchy, from the aspects of tau functions. Firstly, the modified CKP hierarchy is constructed by using free Bosons and the corresponding Lax structure is given. Then the constrained CKP hierarchy is found to be related with the modified CKP hierarchy, and the corresponding solutions are derived by using free Bosons. Next by using the relations between the Darboux transformations and the squared eigenfunction symmetries, we express the Darboux transformations of the CKP hierarchy in terms of free Bosons, by which one can better understand the essential of the CKP Darboux transformations. In particular, the additional symmetries of the CKP hierarchy can be viewed as the infinitesimal generator of the CKP Darboux transformations. Based upon these results, we finally obtain the actions of the CKP additional symmetries on the CKP tau functions constructed by free Bosons., Comment: 29 pages

Published
2021
Full Text
View/download PDF

9. Bilinear equations in Darboux transformations by Boson-Fermion correspondence

Author

Yang, Yi and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35Q51, 37K10, 37K40
Abstract

Bilinear equation is an important property for integrable nonlinear evolution equation. Many famous research objects in mathematical physics, such as Gromov-Witten invariants, can be described in terms of bilinear equations to show their connections with the integrable systems. Here in this paper, we mainly discuss the bilinear equations of the transformed tau functions under the successive applications of the Darboux transformations for the KP hierarchy, the modified KP hierarchy (Kupershmidt-Kiso version) and the BKP hierarchy, by the method of the Boson-Fermion correspondence. The Darboux transformations are considered in the Fermionic picture, by multiplying the different Fermionic fields on the tau functions. Here the Fermionic fields are corresponding to the (adjoint) eigenfunctions, whose changes under the Darboux transformations are showed to be the ones of the squared eigenfunction potentials in the Bosonic picture, used in the spectral representations of the (adjoint) eigenfunctions. Then the successive applications of the Darboux transformations are given in the Fermionic picture. Based upon this, some new bilinear equations in the Darboux chain are derived, besides the ones of $(l-l')$ -th modified KP hierarchy. The corresponding examples of these new bilinear equations are given., Comment: 47 pages

Published
2021
Full Text
View/download PDF

11. Hirota Quadratic Equations for the Gromov--Witten Invariants of $\mathbb{P}_{n-2,2,2}^1$

Author

Cheng, Jipeng and Milanov, Todor

Subjects
Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics, 14N35, 37K10
Abstract

Fano orbifold lines are classified by the Dynkin diagrams of type $A,D,$ and $E$. It is known that the corresponding total descendant potential is a tau-function of an appropriate Kac--Wakimoto hierarchy. It is also known that in the A-case the Kac--Wakimoto hierarchies admit an extension and that the total descendant potential is a tau-function of an extended Kac--Wakimoto hierarchy. The goal of this paper is to prove that in the D-case the total descendent potential is also a tau-function of an extended Kac--Wakimoto hierarchy., Comment: 37 pages. Some typos and statements are corrected, and the title has been changed

Published
2019
Full Text
View/download PDF

12. The extended D-Toda hierarchy

Author

Cheng, Jipeng and Milanov, Todor

Subjects
Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematics - Dynamical Systems, 37K10, 14N35
Abstract

In a companion paper to this one, we proved that the Gromov--Witten theory of a Fano orbifold line of type $D$ is governed by a system of Hirota Bilinear Equations. The goal of this paper is to prove that every solution to the Hirota Bilinear Equations determines a solution to a new integrable hierarchy of Lax equations. We suggest the name extended D-Toda hierarchy for this new system of Lax equations, because it should be viewed as the analogue of Carlet's extended bi-graded Toda hierarchy, which is known to govern the Gromov--Witten theory of Fano orbifold lines of type $A$, Comment: 73 pages

Published
2019

13. The third Intensive Care Bundle with Blood Pressure Reduction in Acute Cerebral Haemorrhage Trial (INTERACT3): an international, stepped wedge cluster randomised controlled trial

Author

Robinson, Thompson, Miranda, J. Jaime, Anderson, Craig S., You, Chao, Song, Lili, Parry-Jones, Adrian, Sprigg, Nikola, Durrans, Sophie, Harris, Caroline, Bamford, Ann, Smith, Olivia, Herbert, Robert, Chen, Christopher, Whiteley, William, Hu, Rong, Billot, Laurent, Li, Qiang, Mysore, Jayanthi, Hu, Xin, Zhang, Yao, Liu, Feifeng, Sakamoto, Yuki, You, Shoujiang, Han, Qiao, Crutzen, Bernard, Li, Yunke, Cheung, Emily, Jan, Stephen, Liu, Hueiming, Ouyang, Menglu, Sun, Lingli, Chu, Honglin, Anjum, Anila, Gonzalez Mc Cawley, Francisca, Del Rio, Alejandra, Rimoli, Bruna, Cerantola, Rodrigo, Jeevarajah, Thanushanthan, Kannangara, Madhushani, Joseph, Andrene, Nanayakkara, Chamath, Chen, Xiaoying, Malavera, Alejandra, Zhang, Chunmiao, Yang, Zhao, Li, Brook, Meng, Zhuo, Liu, Leibo, Ning, Yi, Dong, Le, Armenis, Manuela, Lim, Joyce, Monaghan, Helen, Ma, Lu, Li, Xi, Luo, Rui, Cheng, Guojuan, Dong, Yilin, Liu, Ziqin, Wang, Shuihong, Zhang, Ying, Cheng, Jipeng, Shi, Hui, Li, Wenjing, Mou, Langming, Yi, Ping, Chen, Chen, Chen, Xue, Weerawardena, Shalomi, Ellawala, Poornima, Ranasinghe, Enalee, Rodrigo, Chrishmi, Wahab, Kolawala, Adeniyi, Sunday, Pandian, Jeyaraj, Khanna, Megha, Muñoz Venturelli, Paula, González, Francisca, Urrutia Goldsack, Francisca, Wasay, Mohammad, Begum, Dilshad, Pontes-Neto, Octavio, Camilo, Millene, Dias, Francisco, Vincenzi, Octavio, Moro, Carla, Santos, Renata, Texeira, Nara, Longo, Alexandre, Liberato, Rafaela, Martins, Sheila, Pille, Arthur, Chwal, Bruna, Silva, Isabel, Titton, Natacha, Weiss, Gustavo, Mora, Daissy, Ouriques, Magda, Carbonera, Leonardo, Bazan, Rodrigo, Modolo, Gabriel, Winckler, Fernanda, Miranda, Luana, Souza, Juli, Rojo, Alexis, Uslar, Wilhelm, Medel, Lorena, Lopez, Javiera, Herrero, Diego, Lavados, Pablo, Vargas Latorre, Barbara, Conejan, Nathalie, Esparza, Tomas, Sotomayor, Patricio, Wenger, Denisse, Gigoux, Juan Pablo, Letelier, Aldo, Acevedo, Lilian, Moya, Vivianne, Figueroa, Cristian, Vallejos, Nicol, Guerrero, Rodrigo, Velasquez, Mauricio, Vallejos, Jose, Pallauta, Kimerly, Santibanez, Tamara, Queirolo, Angelo, Lobos, Andrea, Jiang, Yongming, Li, Weimin, Huang, Wei, Luo, Ke, Liu, Gangying, Tang, Guanghai, Yang, Guang, Jiang, Hongtao, Zhang, Xu, Jing, Hongyan, Zhu, Sheng, Pu, Bo, Lv, Dong, Kang, Hui, Hu, Qiuping, She, Xiaochun, Jiang, Xiaoming, Chen, Yanli, Yang, Shenghua, He, Jianjun, Li, Zongping, Cheng, Gang, Huang, Hailin, Wang, Xiaoyi, Lin, Jianqiong, Chen, Minhui, Yang, Chenghao, Ding, Hao, Deng, Yunliang, Luo, Fei, Zhang, Rongjun, Wang, Xiaofeng, Zhang, Hongbing, Yang, Xiaoliang, Zhang, Yang, Yang, Chengyi, He, Yu, Liu, Feng, Wang, Rongjie, Zhang, Yuhui, Xin, Xiaodong, Feng, Bin, Hao, Wanru, Song, Chang, Guo, Yun, Jiang, Dehua, Chen, Jie, Tang, Changtong, Zhu, Hongliang, Li, Xin, Cui, Jin, Xu, Haidong, Li, Boyang, Tang, Fusheng, Li, Yuanbin, Gao, Min, Yang, Bo, Xu, Xuejun, Deng, Bing, Zheng, Yi, Ge, Yuanhong, Chen, Keyu, Liu, Yang, Li, Xinshen, Zhong, Tingting, Xu, Jianfeng, Zhang, Hai, Wang, Jiyue, Zhu, Jianxin, Sun, Hanyu, Yu, Fuhua, Zhang, Xueguang, Xu, Jianguo, Zhang, Mingsen, Wang, Bin, Ma, Yiming, Jiang, Donglin, Zhou, Jun, Liu, Cong, Nie, Wenhong, Li, Mingguo, Tian, Tao, Li, Yong, He, Mingfang, Tu, Xiaolong, Wu, Zhengjun, Liu, Hong, Zhong, Dongsheng, Jiang, Rongcai, Sun, Jian, Tian, Ye, Wei, Yingsheng, An, Shuo, Wei, Pingbo, Luo, Le, Lin, Bin, Liu, Gang, Wen, Yan, Cai, Qiang, Chen, Qianxue, Lei, Pan, Li, Zhiyang, Zhang, Meifang, He, Jiaquan, Chen, Yan, Liu, Jun, Liu, Xinghai, Li, Junyan, Chen, Min, Wang, Jing, Zhou, Bingzhi, Ye, Baichun, Zhang, Jiancheng, Zhang, Manyuan, Pan, Xuming, Yu, Xiaoxiang, Xu, Jian, Xiao, Qingbao, Wang, Yuefei, Tao, Liang, Shi, Lin, Zheng, Niandong, You, Guoliang, Lei, Bo, Chen, Shu, Wu, Honggang, Hu, Jin, Zhao, Jianlan, Yu, Jian, Yuan, Qiang, Du, Zhuoying, Tang, Xielin, Li, Qianke, Liu, Shenghua, Yang, Feilong, Xiao, Kui, Luo, Chao, Wang, Guang, Che, Xudong, Teng, Zhipeng, Wan, Wenwu, Li, Jun, Liu, Yu, Fan, Mingbo, Zhang, Tao, Cai, Lun, Ma, Yuan, Ma, Zhifeng, Li, Bin, He, Linlin, Li, Jinghui, Zhang, Weibing, Zhang, Shuxin, Zhang, Hongzhen, Dai, Yingguang, Lei, Jun, Mao, Lei, Huang, Yiyang, Zhou, Zhi, Chen, Ping, Chen, Fang, Wei, Pan, Li, Tiangui, Chen, Honglin, Zeng, Mengfei, Mou, Kejie, Xue, Jun, Jiang, Yong, Tang, Xiaoping, Chen, Tao, Zhang, Yalan, Xu, Yanbing, Gu, Yuchen, Chen, Lei, Zhao, Yujun, Yang, Bin, Kuai, Peng, Wang, Xi, Yang, Yuwang, Hu, Xueling, Zhang, Huitian, Yang, Yintao, Wang, Weifeng, Zhang, Junyi, Cheng, Wei, Zhang, Xiaoxue, Ma, Xiaowen, He, Qin, Zhang, Li, Gao, Rong, Liu, Huixiang, Ye, Jingwei, Xu, Ping, Wu, Xin, Yuan, Yuan, Zou, Peng, Zhang, Zhen, Cheng, Jiyong, Zhou, Zhangming, Zeng, Yijun, Liang, Zhang, Du, Deming, Yu, Shui, Cao, Yongjun, Xu, Jiaping, Huang, Zhichao, Chen, Dongqin, Xiao, Wenfeng, Zhu, Li, Yuan, Miao, Wang, Yuhai, Shi, Dongliang, Hu, Xu, Xiang, Dingchao, Shi, Like, Wang, Hongqin, Yang, Liu, Miao, Wang, Hu, Yiyi, Zhao, Yuchun, Hu, Xi, Zhou, Weiduo, Sun, Chao, Tang, Dong, Yao, Kun, You, Jin, Chen, Shishi, Yao, Jianmin, Li, Huanmei, Liu, Jinmei, Bai, Ailin, Yi, Yong, Deng, Qingshan, Luo, Peng, Wang, Han, Jiang, Jingcheng, Yang, Qingwei, He, Shunpo, Wang, Jun, Chen, Yu, He, Hua, Deng, Yuyang, Cao, Zhikai, Yi, Xuxia, Luo, Jinbiao, Luo, Shuang, Gong, Min, Liu, Li, Gao, Xuejun, Liu, Jia, Wu, Li'e, Zhang, Jia, Sun, Hongying, Li, Xinhui, Jia, Lu, Wu, Jianbing, Zhang, Jie, Zhang, Huajun, Du, Chunfu, Li, Shun, Yang, Xiaobin, He, Jie, Liao, Lei, Zhou, Gezhi, Dong, Wentao, Chen, Yunxiang, Lin, Xiaofeng, Shui, Xujian, Zhang, Peng, Zhao, Yuan, Yang, Hongli, Zhao, Wenbin, Zhang, Xiaoyi, Chen, Jincao, Wu, Qian, Dai, Xuan, Tang, Baogui, Wang, Yinjuan, Liu, Tao, Zhang, Haixia, Duan, Faliang, Luo, Ming, Jiao, Qingfang, Lei, Guoliang, Wang, Dong, Song, Chunwang, Tan, Haopeng, Ye, Feng, Qin, Xinghu, Liang, Xiaolong, Liu, Junling, Yang, Lang, Yang, Jie, Lin, Yapeng, Yang, Qian, Ma, Xuntai, Qi, Yinkuang, Pan, Baogen, Jiang, Caixia, Ye, Zhanying, Dong, Ce, Yue, Xiongfei, Yang, Xiaopeng, Maimaitiyiming, Tuoheti, Dong, Jun, Wu, Yonggang, Gao, Feng, Zhao, Deqiang, Zhang, Xinghai, Wang, PengJun, Jiang, Hongbo, Li, Jianping, Zhang, Wei, Chen, Jing, Tong, Haibo, Wang, Yonghong, Qiao, Kaipeng, Guo, Fuyou, Zhang, Mingchu, Hu, Yan, Feng, Mengzhao, Song, Dengpan, Zuo, Yi, Chen, Shangjun, Qian, Chao, Li, Baoming, Ma, Jingku, Zhang, Sunfu, Kong, Bin, Dong, Xingyu, Fang, Sheng, Lu, Bin, Li, Yang, Yang, Yongling, Yu, Hong, Sun, Huaiyu, Wang, Yue, Wang, Weimin, Li, Tong, Li, Shengli, Xu, Zhiming, Wang, Yongyi, Dong, Qiang, Tang, Yuping, Chu, Heling, Lu, Ying, Wang, Zhong, Sun, Xiaoou, Zhao, Jianhua, Yang, Shuaifeng, Qian, Xiying, Saroja, Aralikatte Onkarappa, Naik k, Ravishankar, Chindhi, Sandip, Pampaniya, Nakul, Amaresh, Kurubara, Iype, Thomas, R, Dileep, Rajan, Reeja, Panicker, Praveen, Das, Rupjyoti, Choudhury, Nupur, Gohain, Pankaja, Webster, Jemin, Pakma, Biyol, Sangi, Lalbiak, Sebastian, Ivy, Aggrawal, Gaurav, Raj, Komal, Rajoura, Deepankshi, Singh, Sulena, Aggrawal, Varun, Narang, Amit, Arauz, Antonio, Cano-Nigenda, Vanesa, López-Mena, Diego, Valdez-Ruvalcaba, Héctor, Toledo-Treviño, Roberto, Obiako, Reginald, Abubakar, Sani, Emeka, Oguike, Olayemi, Balogun, Lois, Melika, Philip, Ibinaiye, Comfort O, Olurishe, Okubadejo, Njideka, Agabi, Osigwe, Ojo, Oluwadamilola, Wahab, Kolawole, Bello, Abiodun, Ibukun, Oyinloye, Sanayaolu, Olufemi, Jimoh, Abdulraheem, Waheed, Shahid, Kamal, Dr.Ayeesha, Shoaib, Raja Farhat, Orooj, Fizza, Majid, Sadaf, Zehra, Taskeen, Khan, Abdus Salam, Shanker, Ravi, Syed, Nadir Ali, Ahmad, Nashwa, Abanto, Carlos, Valencia, Ana, Barrientos, Danny, Ramirez, Jorge, Calle, Pilar, Palliyeguruge, Dilum, Muthucumarana, Sumudu, Ratnayaka, Shiroma, Ganihiarachchi, Dilhara, Bandaranayake, Arundathi, Somaratne, S.D.B, Narayana, Saumya, Gallage, Sithara, Senanayake, Bimsara, Samarasiri, Udari, Luke, Dunya, Sivapathasundaram, Mythily, Sahadevan, Vithoosan, Rasmi, Amani, Deshaka, Yuran, Fernando, Nilukshi, Munasinghe, Aruna, Rathnapriya, Kapilanga, Nissanka, A.S, Karunathilake, Kanchana, Gayan, Isuru, Wijenayake, Kaminda, Gunasekara, Hasitha, Vidyarathne, Jagath, Keshavaraj, Ajantha, Janarthanan, Kanagasabapathy, Gerald Jeevathasan, Arhivalaky, Sivamainthan, Sivaram, John Priyanth, Mathyamuthan, John Priyanth, Abirami, Rajendiran, Thambippillai, Alwis, Sanjeewa, Gunasekare, Nushara, Liyanarachchi, Vasundara, Dissanayake, Athula, Uluwattage, Wimalasiri Mewa, Ratnayake, Gimhani, Rajinee, Charika, Jayawardana, Sakura, Peiris, Janaka, Wicramasinghe, Ranjith, Fernando, Chamila, Abbas, Jessie, Withanage, Nethmini, Bandara, Makaranda, Mai, Duy Ton, Nguyen, Van Chi, Dao, Viet Phuong, Vuong, Xuan Trung, Nguyen, Tien Dung, Dinh, Trung Hieu, Phan, Ha Quan, Bui, Quoc Viet, Phung, Dinh Tho, Pham, Quang Tho, Pham, Dinh Dai, Do, Duc Thuan, Dang, Phuc Duc, Dang, Minh Duc, Nguyen, Dang Hai, Nguyen, Thi Phuong Nga, Nguyen, Quoc Huy, Pham, Quoc Dai, Chau, Quoc Vinh, Tai, Vinh Thy Van, Le, Tran Vinh, Le, Cong Tri, Tran, Ha Mai Khuong, Nguyen, Huu Khanh, Ngyen, Hoang Minh Thao, Vo, Duc Chien, Nguyen, Thai My Phuong, Tran, Trung Thanh, Vo, Thi Hanh Vi, Cao, Hao Nhien, Nguyen, Ba Thang, Le, Thi Ngoc Suong, La, Thien Duc, Pham, Chi Duc, Thai, Huy, Muñoz-Venturelli, Paula, de Silva, Asita, Thang, Nguyen Huy, Wahab, Kolawole W, Pandian, Jeyaraj D, Pontes-Neto, Octavio M, Shi, Haiping, Wang, Xia, Zhao, Yang, Li, Hao, Liu, Yi, Jiang, Yan, Wu, Bo, Liu, Ming, and Anderson, Craig S

Published
2023
Full Text
View/download PDF

15. Quantum torus symmetries of multicomponent modified KP hierarchy and reductions

Author

Li, Chuanzhong and Cheng, Jipeng

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics
Abstract

In this paper, we construct the multicomponent modified KP hierarchy and its additional symmetries. The additional symmetries constitute an interesting multi-folds quantum torus type Lie algebra. By a reduction, we also construct the constrained multicomponent modified KP hierarchy and its Virasoro type additional symmetries., Comment: 11 Pages. arXiv admin note: text overlap with arXiv:1510.08955

Published
2019
Full Text
View/download PDF

19. The 2-component BKP Grassmanian and simple singularities of type D

Author

Cheng, Jipeng and Milanov, Todor

Subjects
Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematics - Dynamical Systems, 37K10, 17B69, 58K05
Abstract

It was proved in 2010 that the principal Kac--Wakimoto hierarchy of type $D$ is a reduction of the 2-component BKP hierarchy. On the other hand, it is known that the total descendant potential of a singularity of type $D$ is a tau-function of the principal Kac--Wakimoto hierarchy. We find explicitly the point in the Grassmanian of the 2-component BKP hierarchy (in the sense of Shiota) that corresponds to the total descendant potential. We also prove that the space of tau-functions of Gaussian type is parametrized by the base of the miniversal unfolding of the simple singularity of type $D$., Comment: 36 pages

Published
2018

25. Lax representation and Bäcklund–Darboux transformation for coupled BKP hierarchy.

Author

Duan, Xiaojuan and Cheng, Jipeng

Subjects
*POLYNOMIAL operators, *LIE algebras, *WAVE functions, *MATRIX functions, *EQUATIONS, *BILINEAR forms, *LAX pair
Abstract

By using vertex operator representation of polynomial Lie algebra b ∞ (n) , a theoretical interpretation of coupled BKP hierarchy is given, where corresponding Hirota bilinear equations are derived. Then based upon this, a wave function matrix is introduced, so that we can construct the corresponding dressing operator matrix and obtain the coupled BKP constraints and Sato equation, which allows us to define the Lax operator matrix and obtain the Lax equation. It is found that the coupled BKP hierarchy is a special case of matrix KP theory. Lastly, we present the Bäcklund–Darboux transformations for the coupled BKP equations from both fermionic and bosonic pictures. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

35. The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy

Author

Li, Maohua, Cheng, Jipeng, and He, Jingsong

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, 35Q53, 37K10, 37K40
Abstract

In this paper, the compatibility between the gauge transformations and the additional symmetry of the constrained discrete Kadomtsev-Petviashvili hierarchy is given, which preserving the form of the additional symmetry of the cdKP hierarchy, up to shifting of the corresponding additional flows by ordinary time flows., Comment: 16 pages

Published
2014
Full Text
View/download PDF

40. The third Intensive Care Bundle with Blood Pressure Reduction in Acute Cerebral Haemorrhage Trial (INTERACT3): an international, stepped wedge cluster randomised controlled trial

Author

Ma, Lu, primary, Hu, Xin, additional, Song, Lili, additional, Chen, Xiaoying, additional, Ouyang, Menglu, additional, Billot, Laurent, additional, Li, Qiang, additional, Malavera, Alejandra, additional, Li, Xi, additional, Muñoz-Venturelli, Paula, additional, de Silva, Asita, additional, Thang, Nguyen Huy, additional, Wahab, Kolawole W, additional, Pandian, Jeyaraj D, additional, Wasay, Mohammad, additional, Pontes-Neto, Octavio M, additional, Abanto, Carlos, additional, Arauz, Antonio, additional, Shi, Haiping, additional, Tang, Guanghai, additional, Zhu, Sheng, additional, She, Xiaochun, additional, Liu, Leibo, additional, Sakamoto, Yuki, additional, You, Shoujiang, additional, Han, Qiao, additional, Crutzen, Bernard, additional, Cheung, Emily, additional, Li, Yunke, additional, Wang, Xia, additional, Chen, Chen, additional, Liu, Feifeng, additional, Zhao, Yang, additional, Li, Hao, additional, Liu, Yi, additional, Jiang, Yan, additional, Chen, Lei, additional, Wu, Bo, additional, Liu, Ming, additional, Xu, Jianguo, additional, You, Chao, additional, Anderson, Craig S, additional, Robinson, Thompson, additional, Miranda, J. Jaime, additional, Anderson, Craig S., additional, Parry-Jones, Adrian, additional, Sprigg, Nikola, additional, Durrans, Sophie, additional, Harris, Caroline, additional, Bamford, Ann, additional, Smith, Olivia, additional, Herbert, Robert, additional, Chen, Christopher, additional, Whiteley, William, additional, Hu, Rong, additional, Mysore, Jayanthi, additional, Zhang, Yao, additional, Jan, Stephen, additional, Liu, Hueiming, additional, Sun, Lingli, additional, Chu, Honglin, additional, Anjum, Anila, additional, Gonzalez Mc Cawley, Francisca, additional, Del Rio, Alejandra, additional, Rimoli, Bruna, additional, Cerantola, Rodrigo, additional, Jeevarajah, Thanushanthan, additional, Kannangara, Madhushani, additional, Joseph, Andrene, additional, Nanayakkara, Chamath, additional, Zhang, Chunmiao, additional, Yang, Zhao, additional, Li, Brook, additional, Meng, Zhuo, additional, Ning, Yi, additional, Dong, Le, additional, Armenis, Manuela, additional, Lim, Joyce, additional, Monaghan, Helen, additional, Ma, Lu, additional, Luo, Rui, additional, Cheng, Guojuan, additional, Dong, Yilin, additional, Liu, Ziqin, additional, Wang, Shuihong, additional, Zhang, Ying, additional, Cheng, Jipeng, additional, Shi, Hui, additional, Li, Wenjing, additional, Mou, Langming, additional, Yi, Ping, additional, Chen, Xue, additional, Weerawardena, Shalomi, additional, Ellawala, Poornima, additional, Ranasinghe, Enalee, additional, Rodrigo, Chrishmi, additional, Wahab, Kolawala, additional, Adeniyi, Sunday, additional, Pandian, Jeyaraj, additional, Khanna, Megha, additional, Muñoz Venturelli, Paula, additional, González, Francisca, additional, Urrutia Goldsack, Francisca, additional, Begum, Dilshad, additional, Pontes-Neto, Octavio, additional, Camilo, Millene, additional, Dias, Francisco, additional, Vincenzi, Octavio, additional, Moro, Carla, additional, Santos, Renata, additional, Texeira, Nara, additional, Longo, Alexandre, additional, Liberato, Rafaela, additional, Martins, Sheila, additional, Pille, Arthur, additional, Chwal, Bruna, additional, Silva, Isabel, additional, Titton, Natacha, additional, Weiss, Gustavo, additional, Mora, Daissy, additional, Ouriques, Magda, additional, Carbonera, Leonardo, additional, Bazan, Rodrigo, additional, Modolo, Gabriel, additional, Winckler, Fernanda, additional, Miranda, Luana, additional, Souza, Juli, additional, Rojo, Alexis, additional, Uslar, Wilhelm, additional, Medel, Lorena, additional, Lopez, Javiera, additional, Herrero, Diego, additional, Lavados, Pablo, additional, Vargas Latorre, Barbara, additional, Conejan, Nathalie, additional, Esparza, Tomas, additional, Sotomayor, Patricio, additional, Wenger, Denisse, additional, Gigoux, Juan Pablo, additional, Letelier, Aldo, additional, Acevedo, Lilian, additional, Moya, Vivianne, additional, Figueroa, Cristian, additional, Vallejos, Nicol, additional, Guerrero, Rodrigo, additional, Velasquez, Mauricio, additional, Vallejos, Jose, additional, Pallauta, Kimerly, additional, Santibanez, Tamara, additional, Queirolo, Angelo, additional, Lobos, Andrea, additional, Jiang, Yongming, additional, Li, Weimin, additional, Huang, Wei, additional, Luo, Ke, additional, Liu, Gangying, additional, Yang, Guang, additional, Jiang, Hongtao, additional, Zhang, Xu, additional, Jing, Hongyan, additional, Pu, Bo, additional, Lv, Dong, additional, Kang, Hui, additional, Hu, Qiuping, additional, Jiang, Xiaoming, additional, Chen, Yanli, additional, Yang, Shenghua, additional, He, Jianjun, additional, Li, Zongping, additional, Cheng, Gang, additional, Huang, Hailin, additional, Wang, Xiaoyi, additional, Lin, Jianqiong, additional, Chen, Minhui, additional, Yang, Chenghao, additional, Ding, Hao, additional, Deng, Yunliang, additional, Luo, Fei, additional, Zhang, Rongjun, additional, Wang, Xiaofeng, additional, Zhang, Hongbing, additional, Yang, Xiaoliang, additional, Zhang, Yang, additional, Yang, Chengyi, additional, He, Yu, additional, Liu, Feng, additional, Wang, Rongjie, additional, Zhang, Yuhui, additional, Xin, Xiaodong, additional, Feng, Bin, additional, Hao, Wanru, additional, Song, Chang, additional, Guo, Yun, additional, Jiang, Dehua, additional, Chen, Jie, additional, Tang, Changtong, additional, Zhu, Hongliang, additional, Li, Xin, additional, Cui, Jin, additional, Xu, Haidong, additional, Li, Boyang, additional, Tang, Fusheng, additional, Li, Yuanbin, additional, Gao, Min, additional, Yang, Bo, additional, Xu, Xuejun, additional, Deng, Bing, additional, Zheng, Yi, additional, Ge, Yuanhong, additional, Chen, Keyu, additional, Liu, Yang, additional, Li, Xinshen, additional, Zhong, Tingting, additional, Xu, Jianfeng, additional, Zhang, Hai, additional, Wang, Jiyue, additional, Zhu, Jianxin, additional, Sun, Hanyu, additional, Yu, Fuhua, additional, Zhang, Xueguang, additional, Zhang, Mingsen, additional, Wang, Bin, additional, Ma, Yiming, additional, Jiang, Donglin, additional, Zhou, Jun, additional, Liu, Cong, additional, Nie, Wenhong, additional, Li, Mingguo, additional, Tian, Tao, additional, Li, Yong, additional, He, Mingfang, additional, Tu, Xiaolong, additional, Wu, Zhengjun, additional, Liu, Hong, additional, Zhong, Dongsheng, additional, Jiang, Rongcai, additional, Sun, Jian, additional, Tian, Ye, additional, Wei, Yingsheng, additional, An, Shuo, additional, Wei, Pingbo, additional, Luo, Le, additional, Lin, Bin, additional, Liu, Gang, additional, Wen, Yan, additional, Cai, Qiang, additional, Chen, Qianxue, additional, Lei, Pan, additional, Li, Zhiyang, additional, Zhang, Meifang, additional, He, Jiaquan, additional, Chen, Yan, additional, Liu, Jun, additional, Liu, Xinghai, additional, Li, Junyan, additional, Chen, Min, additional, Wang, Jing, additional, Zhou, Bingzhi, additional, Ye, Baichun, additional, Zhang, Jiancheng, additional, Zhang, Manyuan, additional, Pan, Xuming, additional, Yu, Xiaoxiang, additional, Xu, Jian, additional, Xiao, Qingbao, additional, Wang, Yuefei, additional, Tao, Liang, additional, Shi, Lin, additional, Zheng, Niandong, additional, You, Guoliang, additional, Lei, Bo, additional, Chen, Shu, additional, Wu, Honggang, additional, Hu, Jin, additional, Zhao, Jianlan, additional, Yu, Jian, additional, Yuan, Qiang, additional, Du, Zhuoying, additional, Tang, Xielin, additional, Li, Qianke, additional, Liu, Shenghua, additional, Yang, Feilong, additional, Xiao, Kui, additional, Luo, Chao, additional, Wang, Guang, additional, Che, Xudong, additional, Teng, Zhipeng, additional, Wan, Wenwu, additional, Li, Jun, additional, Liu, Yu, additional, Fan, Mingbo, additional, Zhang, Tao, additional, Cai, Lun, additional, Ma, Yuan, additional, Ma, Zhifeng, additional, Li, Bin, additional, He, Linlin, additional, Li, Jinghui, additional, Zhang, Weibing, additional, Zhang, Shuxin, additional, Zhang, Hongzhen, additional, Dai, Yingguang, additional, Lei, Jun, additional, Mao, Lei, additional, Huang, Yiyang, additional, Zhou, Zhi, additional, Chen, Ping, additional, Chen, Fang, additional, Wei, Pan, additional, Li, Tiangui, additional, Chen, Honglin, additional, Zeng, Mengfei, additional, Mou, Kejie, additional, Xue, Jun, additional, Jiang, Yong, additional, Tang, Xiaoping, additional, Chen, Tao, additional, Zhang, Yalan, additional, Xu, Yanbing, additional, Gu, Yuchen, additional, Zhao, Yujun, additional, Yang, Bin, additional, Kuai, Peng, additional, Wang, Xi, additional, Yang, Yuwang, additional, Hu, Xueling, additional, Zhang, Huitian, additional, Yang, Yintao, additional, Wang, Weifeng, additional, Zhang, Junyi, additional, Cheng, Wei, additional, Zhang, Xiaoxue, additional, Ma, Xiaowen, additional, He, Qin, additional, Zhang, Li, additional, Gao, Rong, additional, Liu, Huixiang, additional, Ye, Jingwei, additional, Xu, Ping, additional, Wu, Xin, additional, Yuan, Yuan, additional, Zou, Peng, additional, Zhang, Zhen, additional, Cheng, Jiyong, additional, Zhou, Zhangming, additional, Zeng, Yijun, additional, Liang, Zhang, additional, Du, Deming, additional, Yu, Shui, additional, Cao, Yongjun, additional, Xu, Jiaping, additional, Huang, Zhichao, additional, Chen, Dongqin, additional, Xiao, Wenfeng, additional, Zhu, Li, additional, Yuan, Miao, additional, Wang, Yuhai, additional, Shi, Dongliang, additional, Hu, Xu, additional, Xiang, Dingchao, additional, Shi, Like, additional, Wang, Hongqin, additional, Yang, Liu, additional, Miao, Wang, additional, Hu, Yiyi, additional, Zhao, Yuchun, additional, Hu, Xi, additional, Zhou, Weiduo, additional, Sun, Chao, additional, Tang, Dong, additional, Yao, Kun, additional, You, Jin, additional, Chen, Shishi, additional, Yao, Jianmin, additional, Li, Huanmei, additional, Liu, Jinmei, additional, Bai, Ailin, additional, Yi, Yong, additional, Deng, Qingshan, additional, Luo, Peng, additional, Wang, Han, additional, Jiang, Jingcheng, additional, Yang, Qingwei, additional, He, Shunpo, additional, Wang, Jun, additional, Chen, Yu, additional, He, Hua, additional, Deng, Yuyang, additional, Cao, Zhikai, additional, Yi, Xuxia, additional, Luo, Jinbiao, additional, Luo, Shuang, additional, Gong, Min, additional, Liu, Li, additional, Gao, Xuejun, additional, Liu, Jia, additional, Wu, Li'e, additional, Zhang, Jia, additional, Sun, Hongying, additional, Li, Xinhui, additional, Jia, Lu, additional, Wu, Jianbing, additional, Zhang, Jie, additional, Zhang, Huajun, additional, Du, Chunfu, additional, Li, Shun, additional, Yang, Xiaobin, additional, He, Jie, additional, Liao, Lei, additional, Zhou, Gezhi, additional, Dong, Wentao, additional, Chen, Yunxiang, additional, Lin, Xiaofeng, additional, Shui, Xujian, additional, Zhang, Peng, additional, Zhao, Yuan, additional, Yang, Hongli, additional, Zhao, Wenbin, additional, Zhang, Xiaoyi, additional, Chen, Jincao, additional, Wu, Qian, additional, Dai, Xuan, additional, Tang, Baogui, additional, Wang, Yinjuan, additional, Liu, Tao, additional, Zhang, Haixia, additional, Duan, Faliang, additional, Luo, Ming, additional, Jiao, Qingfang, additional, Lei, Guoliang, additional, Wang, Dong, additional, Song, Chunwang, additional, Tan, Haopeng, additional, Ye, Feng, additional, Qin, Xinghu, additional, Liang, Xiaolong, additional, Liu, Junling, additional, Yang, Lang, additional, Yang, Jie, additional, Lin, Yapeng, additional, Yang, Qian, additional, Ma, Xuntai, additional, Qi, Yinkuang, additional, Pan, Baogen, additional, Jiang, Caixia, additional, Ye, Zhanying, additional, Dong, Ce, additional, Yue, Xiongfei, additional, Yang, Xiaopeng, additional, Maimaitiyiming, Tuoheti, additional, Dong, Jun, additional, Wu, Yonggang, additional, Gao, Feng, additional, Zhao, Deqiang, additional, Zhang, Xinghai, additional, Wang, PengJun, additional, Jiang, Hongbo, additional, Li, Jianping, additional, Zhang, Wei, additional, Chen, Jing, additional, Tong, Haibo, additional, Wang, Yonghong, additional, Qiao, Kaipeng, additional, Guo, Fuyou, additional, Zhang, Mingchu, additional, Hu, Yan, additional, Feng, Mengzhao, additional, Song, Dengpan, additional, Zuo, Yi, additional, Chen, Shangjun, additional, Qian, Chao, additional, Li, Baoming, additional, Ma, Jingku, additional, Zhang, Sunfu, additional, Kong, Bin, additional, Dong, Xingyu, additional, Fang, Sheng, additional, Lu, Bin, additional, Li, Yang, additional, Yang, Yongling, additional, Yu, Hong, additional, Sun, Huaiyu, additional, Wang, Yue, additional, Wang, Weimin, additional, Li, Tong, additional, Li, Shengli, additional, Xu, Zhiming, additional, Wang, Yongyi, additional, Dong, Qiang, additional, Tang, Yuping, additional, Chu, Heling, additional, Lu, Ying, additional, Wang, Zhong, additional, Sun, Xiaoou, additional, Zhao, Jianhua, additional, Yang, Shuaifeng, additional, Qian, Xiying, additional, Saroja, Aralikatte Onkarappa, additional, Naik k, Ravishankar, additional, Chindhi, Sandip, additional, Pampaniya, Nakul, additional, Amaresh, Kurubara, additional, Iype, Thomas, additional, R, Dileep, additional, Rajan, Reeja, additional, Panicker, Praveen, additional, Das, Rupjyoti, additional, Choudhury, Nupur, additional, Gohain, Pankaja, additional, Webster, Jemin, additional, Pakma, Biyol, additional, Sangi, Lalbiak, additional, Sebastian, Ivy, additional, Aggrawal, Gaurav, additional, Raj, Komal, additional, Rajoura, Deepankshi, additional, Singh, Sulena, additional, Aggrawal, Varun, additional, Narang, Amit, additional, Cano-Nigenda, Vanesa, additional, López-Mena, Diego, additional, Valdez-Ruvalcaba, Héctor, additional, Toledo-Treviño, Roberto, additional, Obiako, Reginald, additional, Abubakar, Sani, additional, Emeka, Oguike, additional, Olayemi, Balogun, additional, Lois, Melika, additional, Philip, Ibinaiye, additional, Comfort O, Olurishe, additional, Okubadejo, Njideka, additional, Agabi, Osigwe, additional, Ojo, Oluwadamilola, additional, Wahab, Kolawole, additional, Bello, Abiodun, additional, Ibukun, Oyinloye, additional, Sanayaolu, Olufemi, additional, Jimoh, Abdulraheem, additional, Waheed, Shahid, additional, Kamal, Dr.Ayeesha, additional, Shoaib, Raja Farhat, additional, Orooj, Fizza, additional, Majid, Sadaf, additional, Zehra, Taskeen, additional, Khan, Abdus Salam, additional, Shanker, Ravi, additional, Syed, Nadir Ali, additional, Ahmad, Nashwa, additional, Valencia, Ana, additional, Barrientos, Danny, additional, Ramirez, Jorge, additional, Calle, Pilar, additional, Palliyeguruge, Dilum, additional, Muthucumarana, Sumudu, additional, Ratnayaka, Shiroma, additional, Ganihiarachchi, Dilhara, additional, Bandaranayake, Arundathi, additional, Somaratne, S.D.B, additional, Narayana, Saumya, additional, Gallage, Sithara, additional, Senanayake, Bimsara, additional, Samarasiri, Udari, additional, Luke, Dunya, additional, Sivapathasundaram, Mythily, additional, Sahadevan, Vithoosan, additional, Rasmi, Amani, additional, Deshaka, Yuran, additional, Fernando, Nilukshi, additional, Munasinghe, Aruna, additional, Rathnapriya, Kapilanga, additional, Nissanka, A.S, additional, Karunathilake, Kanchana, additional, Gayan, Isuru, additional, Wijenayake, Kaminda, additional, Gunasekara, Hasitha, additional, Vidyarathne, Jagath, additional, Keshavaraj, Ajantha, additional, Janarthanan, Kanagasabapathy, additional, Gerald Jeevathasan, Arhivalaky, additional, Sivamainthan, Sivaram, additional, John Priyanth, Mathyamuthan, additional, John Priyanth, Abirami, additional, Rajendiran, Thambippillai, additional, Alwis, Sanjeewa, additional, Gunasekare, Nushara, additional, Liyanarachchi, Vasundara, additional, Dissanayake, Athula, additional, Uluwattage, Wimalasiri Mewa, additional, Ratnayake, Gimhani, additional, Rajinee, Charika, additional, Jayawardana, Sakura, additional, Peiris, Janaka, additional, Wicramasinghe, Ranjith, additional, Fernando, Chamila, additional, Abbas, Jessie, additional, Withanage, Nethmini, additional, Bandara, Makaranda, additional, Mai, Duy Ton, additional, Nguyen, Van Chi, additional, Dao, Viet Phuong, additional, Vuong, Xuan Trung, additional, Nguyen, Tien Dung, additional, Dinh, Trung Hieu, additional, Phan, Ha Quan, additional, Bui, Quoc Viet, additional, Phung, Dinh Tho, additional, Pham, Quang Tho, additional, Pham, Dinh Dai, additional, Do, Duc Thuan, additional, Dang, Phuc Duc, additional, Dang, Minh Duc, additional, Nguyen, Dang Hai, additional, Nguyen, Thi Phuong Nga, additional, Nguyen, Quoc Huy, additional, Pham, Quoc Dai, additional, Chau, Quoc Vinh, additional, Tai, Vinh Thy Van, additional, Le, Tran Vinh, additional, Le, Cong Tri, additional, Tran, Ha Mai Khuong, additional, Nguyen, Huu Khanh, additional, Ngyen, Hoang Minh Thao, additional, Vo, Duc Chien, additional, Nguyen, Thai My Phuong, additional, Tran, Trung Thanh, additional, Vo, Thi Hanh Vi, additional, Cao, Hao Nhien, additional, Nguyen, Ba Thang, additional, Le, Thi Ngoc Suong, additional, La, Thien Duc, additional, Pham, Chi Duc, additional, and Thai, Huy, additional

Published
2023
Full Text
View/download PDF

47. Architecture Design and Catalytic Activity: Non‐Noble Bimetallic CoFe/fe3O4 Core–Shell Structures for CO2 Hydrogenation

Author

Miao, Wenkang, primary, Hao, Ronghui, additional, Wang, Jingzhou, additional, Wang, Zihan, additional, Lin, Wenxin, additional, Liu, Heguang, additional, Feng, Zhenjie, additional, Lyu, Yingchun, additional, Li, Qianqian, additional, Jia, Dongling, additional, Ouyang, Runhai, additional, Cheng, Jipeng, additional, Nie, Anmin, additional, and Wu, Jinsong, additional

Published
2022
Full Text
View/download PDF

49. Symmetries and bilinear equations for the modified BKP hierarchy.

Author

Guo, Weici, Guan, Wenchuang, Wang, Shen, and Cheng, Jipeng

Abstract

The modified Kadomtsev-Petviashvili hierarchy of B type (mBKP hierarchy) and its constrained cases are investigated from the aspect of the Lax formulation. Starting from the Lax equation of the mBKP hierarchy, we firstly derive the bilinear equations and show the existence of the tau functions. Then the additional symmetries are constructed, and the corresponding generator is showed to be the squared eigenfunction symmetry. After that, the actions of the additional symmetries on the tau functions are given. At last, the Lax formulation of the constrained mBKP hierarchy is investigated and the corresponding bilinear equations are also discussed. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results