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11 results on '"Md Abdul Haque"'

1. Analytical wave solutions of the space time fractional modified regularized long wave equation involving the conformable fractional derivative

Author

M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, and Md. Abdul Haque

Subjects
The space time fractional modified regularized long wave equation, conformable fractional derivative, traveling wave solution, double (G'⁄G, 1⁄(G))method, the Exp-function method, Science
Abstract

The space time fractional modified regularized long wave equation is a model equation to the gravitational water waves in the long-wave occupancy, shallow waters waves in coastal seas, the hydro-magnetic waves in cold plasma, the phonetic waves in dissident quartz and phonetic gravitational waves in contractible liquids. In nonlinear science and engineering, the mentioned equation is applied to analyze the one way tract of long waves in seas and harbors. In this study, the closed form traveling wave solutions to the above equation are evaluated due to conformable fractional derivatives through double (G'⁄G,1⁄G)-expansion method and the Exp-function method. The existence of chain rule and the derivative of composite function permit the nonlinear fractional differential equations (NLFDEs) converted into ODEs using wave transformation. The obtain solutions are very much effective to analyze the gravitational water waves in the long-wave occupancy, shallow waters waves in coastal seas, one way tract of long waves in seas and harbors. These two methods are efficient, convenient, and computationally attractive.

Published
2019
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2. New exact solitary wave solutions to the space-time fractional differential equations with conformable derivative

Author

M. Hafiz Uddin, M. Ali Akbar, Md. Ashrafuzzaman Khan, and Md. Abdul Haque

Subjects
Exact solution, space time fractional modified BBM equation, space time fractional ZKBBM equation, conformable fractional derivative, solitary wave solution, Mathematics, QA1-939
Abstract

The exact wave solutions to the space-time fractional modified Benjamin-Bona-Mahony (mBBM) and space time fractional Zakharov-Kuznetsov Benjamin-Bona-Mahony (ZKBBM) equations are studied in the sense of conformable derivative. The existence of chain rule and the derivative of composite functions permit the nonlinear fractional differential equations (NLFDEs) to convert into the ordinary differential equation using wave transformation. The wave solutions of these equations are examined by means of the expanding and effective two variable (G'/G,1/G)-expansion method. The solutions are obtained in the form of hyperbolic, trigonometric and rational functions containing parameters. The method is efficient, convenient, accessible and is the generalization of the original (G'/G)-expansion method.

Published
2019
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3. Multi-solitary wave solutions to the general time fractional Sharma–Tasso–Olver equation and the time fractional Cahn–Allen equation

Author

M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, and Md. Abdul Haque

Subjects
the space time fractional sto equation, time fractional ca equation, modified riemann–liouville derivative, travelling wave solution, solitary wave solution, Science
Abstract

The space time fractional Sharma–Tasso–Olver (STO) equation and the time fractional Cahn–Allen (CA) equation are well-designated to fission and fusion phenomena including those for solitons, electromagnetic interactions, quantum relativistic atom theory, phase isolation in several components bass system, the relativistic energy-momentum relation. In this article, we have exerted the exact solution to STO and CA equation in the light of fractional derivative (e.g. modified Riemann–Liouville derivative). By using wave transformation the ODE of integer order is generated by the fractional partial differential equation (FPDE). We investigated the travelling wave solution to these equations through the recently established double-expansion method. The results obtained in view of hyperbolic, trigonometric and rational functions containing parameters. We have demonstrated that this method is convenient, effective and powerful tools for solving nonlinear fractional differential equations (NLFDEs).

Published
2019
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5. How to Clean a Tubewell

Author

Md. Ahasan Habib, Serena Cocciolo, Md. Abdul Haque, Md. Mir Abu Raihan, Prosun Bhattacharya, and Anna Tompsett

Subjects
History, Polymers and Plastics, Business and International Management, Industrial and Manufacturing Engineering
Published
2022
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6. New exact solitary wave solutions to the space-time fractional differential equations with conformable derivative

Author

Md. Ashrafuzzaman Khan, M. Hafiz Uddin, Md. Abdul Haque, and M. Ali Akbar

Subjects
conformable fractional derivative, solitary wave solution, Exact solution, lcsh:Mathematics, General Mathematics, Space time, Mathematical analysis, Mathematics::Analysis of PDEs, space time fractional ZKBBM equation, Rational function, Derivative, Chain rule, Conformable matrix, lcsh:QA1-939, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Exact solutions in general relativity, Ordinary differential equation, space time fractional modified BBM equation, Mathematics, Variable (mathematics)
Abstract

The exact wave solutions to the space-time fractional modified Benjamin-Bona-Mahony (mBBM) and space time fractional Zakharov-Kuznetsov Benjamin-Bona-Mahony (ZKBBM) equations are studied in the sense of conformable derivative. The existence of chain rule and the derivative of composite functions permit the nonlinear fractional differential equations (NLFDEs) to convert into the ordinary differential equation using wave transformation. The wave solutions of these equations are examined by means of the expanding and effective two variable ( G' / G ,1/ G )-expansion method. The solutions are obtained in the form of hyperbolic, trigonometric and rational functions containing parameters. The method is efficient, convenient, accessible and is the generalization of the original ( G' / G )-expansion method.

Published
2019
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7. Assessment of Better Prediction of Seasonal Rainfall by Climate Predictability Tool (CPT) using Global Sea Surface Temperature in Bangladesh

Author

Md. Abdul Haque, Md. Mizanur Rahman, Mohan Kumar Das, Md. Abul Kalam Azad, Zakaria Hossain, Md. Nazrul Islam Mondal, and Samarendra Karmakar

Subjects
Sea surface temperature, Climatology, Environmental science, Predictability, atmospheric_science
Abstract

The main objective of this study is to search better prediction result of rainy seasonal rainfall (15 June-15 August). A correlation between rainfall of Bengali rainy seasons at Rangpur, Dhaka, Barisal and Sylhet and global sea surface temperature (SST) of different areas of the world was studied by using the both data of 1975- 2008 years with the help of the Climate Predictability Tool (CPT) to find more positive correlated SST with observed rainfall and use as predictor for giving the prediction of the year 2009. Using SST of one month before rainy season as predictor, the positive deviation of predicted rainfall from observed rainfall was 1.34 mm/day at Sylhet and 0.9 mm/day at Dhaka. The negative deviation of mean rainfall was 1.16 mm/day at Rangpur and 1.10 mm/day at Barisal. Again, using of starting one month SST of rainy season as predictor, positive deviation of predicted rainfall from observed rainfall was 4.03 mm/day at Sylhet. The positive deviation of daily mean rainfall was found 6.58 mm/day at Dhaka and 6.23 mm/day over southern Bangladesh. The study reveals that sea surface temperature (SST) of one month before rainy season was better predictor than SST of starting month of rainy season.

Published
2019
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9. Close Form Solutions of the Fractional Generalized Reaction Duffing Model and the Density Dependent Fractional Diffusion Reaction Equation

Author

M. Ali Akbar, M. Hafiz Uddin, Md. Abdul Haque, and Md. Ashrafuzzaman Khan

Subjects
Generalization, Mathematical analysis, Duffing equation, 02 engineering and technology, 01 natural sciences, Chemical equation, 010305 fluids & plasmas, Fractional calculus, Density dependent, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Fractional diffusion, 020201 artificial intelligence & image processing, General Materials Science, Nonlinear evolution, Variable (mathematics), Mathematics
Abstract

The two variable (G'⁄G, 1⁄G)-expansion method is significant for finding the exact traveling wave solution to nonlinear evolution equations (NLEEs) in mathematical physics, applied mathematics and engineering. In this article, we exert the two variable (G'⁄G, 1⁄G)-expansion method for investigating the fractional generalized reaction Duffing model and density dependent fractional diffusion reaction equation and obtain exact solutions containing parameters. When the parameters are taken particular values, traveling wave solutions are transferred into the solitary wave solutions. The two variable (G'⁄G, 1⁄G)-expansion method is the generalization of the original (G'⁄G)-expansion method established by Wang et al [21].

Published
2017
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10. Contributors

Author

Sami Abbas, Mahmoud AbouLaila, Elio Acquas, Biplab Adhikary, M. Afzal, George Agrogiannis, Selena Ahmed, John P. Alao, Cristina M.M. Almeida, A.R.M. Ruhul Amin, J.P. Andrade, Okezie I. Aruoma, Hiroshi Asaumi, Marco Assunção, Agnieszka Augustyniak, George F. Babcock, Harvey Babich, Theeshan Bahorun, Joanna Bajerska, Susanne Baldermann, Sandip Kumar Bandyopadhyay, Shuvojit Banerjee, Arpita Basu, Saverio Bettuzzi, Udayan Bhattacharya, Anjan Bhattacharyya, Jharna Bhattacharyya, Nirmala Bhoo Pathy, Rebecca L. Bigelow, Dominique Bouglé, Furio Brighenti, Sok-Siya Bun, Eui-Hong Byun, Luca Calani, James A. Cardelli, R. Chalo, Laura Chan, Ruth Chan B.sc., Tak Hang Chan, Hsin-Huei Chang, Kuang-Hua Chang, Raymond Chuen-Chung Chang, Proestos Charalampos, Indu Bhushan Chatterjee, Subrata Chattopadhyay, Chung-Yu Chen, Di Chen, Haixia Chen, Chen Hong-Duo, Junping Chen, Po-Chung Chen, Richie L.C. Chen, Xiaoqiang Chen, Tzong-Jih Cheng, Kai On Chu, Ming-Chien Chyu, Claudia Cimpoiu, Salvatore Cuzzocrea, Asankur Sekhar Das, Dolan Das, Kaushik Das, Eveline A. de Bruin, Elvira De Mejia, Bieke Dejaegher, Sarah Delaney, Jianpeng Dou, Q. Ping Dou, Dorota Dworakowska, Rachel Eckhoff, Tatsuro Egawa, Suzanne Einother, Ramesh Elango, Riad Elias, Nesrine Salah EL-Dine El-Sayed, Lei Feng, Wan Yong Feng, Sandro Fenu, Federico Ferreres, Maria E. Figueira, Lindsey N. Fix, Richard A. Frazier, Michael Frezza, Xing-Hua Gao, Cristina García-Viguera, Sarah A. Gehrke, Pitchairaj Geraldine, Arunava Ghosh, Timo Giesbrecht, Brian Giunta, José Ignacio Gil, Angel Gil-Izquierdo, Ashok K. Giri, Maike Gleichenhagen, Paul S. Grant, Daniel Gyamfi, Taku Hamada, Md Abdul Haque, Yukihiro Hara, Michio Hashimoto, Nobuyuki Hayashi, Tstauya Hayashi, Rong-Rong He, David Heber, Susanne M. Henning, Yasunobu Hirata, Ku Yuen-Shan Ho, Anamaria Hosu, Jean Marie Houghton, Hsien-Yi Hsiao, Bo-Chuan Hsieh, Chun-Hsiung Huang, Dejian Huang, Clara Hiu-Ling Hung, Yueh-Tzu Hung, Daniel H. Hwang, Yuk Hyun-Gyun, Ikuo Igarashi, Mitsuaki Isobe, Grazyna Jasienska, Jan Jeszka, Seon Kim Ji, Li Jianrong, Heiying Jin, Yali Jing, Heiying Jinz, Susan Jordan, Arvin Jundoria, Tatiana Kalinovsky, S. Kamunya, Yoshihiko Kanno, Bappaditya Kanrar, Yung-Hsi Kao, Izet M. Kapetanovic, Maria Kapiszewska, Maria Kapsokefalou, Nikolaos Kavantzas, Bradley B. Keller, Lilian C. Kerio, Sara Anees Khan, Jong-Min Kim, Akiko Kojima-Yuasa, Adam Kokotkiewicz, Michael Komaitis, Govindasamy Kottur, Antonios E. Koutelidakis, Hui-Chen Ku, Ee-Heok Kua, Nikolai Kuhnert, Yow-Chii Kuo, Hiroshi Kurihara, Shinichi Kuriyama, Manuella Lanzett, Anh D. Le, Andy H. Lee, Joo Young Lee, Maw-Rong Lee, Ren-Jye Lee, Seung-Cheol Lee, Viola S.Y. Lee, Na-Na Li, Wei Li, Yuan-Hong Li, Yue-Rong Liang, Chih-Ming Lin, Ching-Ling Lin, Chi-Wei Liu, Hang-Seng Liu, Pengxin Liu, Rosanna Longoni, Mario Lorenz, Jian-Liang Lu, Ya-Ning Lu, Edralin A. Lucas, Wojciech Łuczaj, Maria Luczkiewicz, Amitabye Luximon-Ramma, Paul Lynch, Timothy J. Lyons, Xiao Ma, Mari Maeda-Yamamoto, Symon M. Mahungu, Hidefumi Makabe, Jenny T. Mao, Irvine K. Mariga, T. Maritim, Colin R. Martin, Shuichi Masuda, Isao Matsui-Yuasa, Stephen Karori Mbuthia, Sonia Medina, Aradhana Mehra, Matthias F. Melzig, Anna Merklinger-Gruchala, Mohsen Meydani, Vasile Miclaus, Chandan Mitra, Yohei Miyamoto, Nobuo Momoi, S.A. Mousa, Fhatuwani Nixwell Mudau, Taskeen Mujtaba, Karen L. Mumy, Akira Murakami, Takatoshi Murase, Ramalingam Senthil Murugan, Subramanian Murugesan, Ryozo Nagai, Siddavaram Nagini, Christina Nagle, Kei Nakajima, Vidushi Neergheen-Bhujun, Tze-Pin Ng, Francis Muigai Ngure, Aleksandra Niedzwiecki, Kaijun Niu, M. Nomani, Peter O'Brien, Masahito Ogawa, Eung Seok Oh, Kazushi Okamoto, Evelyne Ollivier, Andrew R. Osterburg, Makoto Otsuki, Chi Pui Pang, Maria Pasalich, Irene Paterniti, Efstratios Patsouris, Ingrid A.-L. Persson, Ante Piljac, Jasenka Piljac-Zegarac, Luís Cristóvão Porto, Mark A. Prendergast, Patcharee Pripdeevech, Shubha Priyamvada, Sirima Puangpraphant, Ramasamy Shanmugasundaram Senthil Kumar, Gregory Raner M., Matthias Rath, Daniele Del Rio, Sherine M. Rizk, Federica Rizzi, Randy J. Robinson, Jorge Rodrigues, M. Waheed Roomi, Colleen Margaret Ross, Abdel-Majeed A. Safer, Sohel Saikat, Andrew E. Sama, Dunja Šamec, Yoichi Sameshima, Alyssa G. Schuck, Baik-Lin Seong, Anubha Sharma, Chwan-Li Shen, Joen-Rong Sheu, Li-Jane Shih, Yuko Shimamura, Dong Moon Shin, Anakalo A. Shitandi, Elżbieta Skrzydlewska, Thomas J. Smith, Jhoti Somanah, Jae-Min Song, Liliana Spina, John Richard Stepp, Calin Stoicov, Guang-Huan Sun, Jun-ichi Suzuki, Hirofumi Tachibana, Jun Tan, Nelson L.S. Tang, Xudong Tang, Joseph Theodore, Philip A. Thomas, Kimimasa Tobita, Naushad A. Toolsee, Jason T.C. Tzen, Cuno S.P.M. Uiterwaal, Samuel Santos Valenca, Leo van Buren, Tracy R. Butler, Pieter C. van der Pijl, Yvan Vander Heyden, Michel Vignes, Stefania Vinci, Francis Wachira, Charlotte M. Walden, Luke Wan, Chi Chiu Wang, Haichao Wang, Piwen Wang, J.K. Wanyoko, Naoharu Watanabe, Jeffrey H. Weisburg, David J. Weiss, Jueng-Tsueng Weng, Michael Wink, Adeline Ik Chian Wong, Sugunya Wongpornchai, Jean Woo, Malgorzata Wozniewicz, Bo-Tsung Wu, Yan Wu, Chen Xiaoqiang, Sudhir Kumar Yadav, Hiroshi Yamada, Ya Ping Yang, Ziyin Yang, Yeh Chien-Chih, Hyun-Gyun Yu, Ahad N.K. Yusufi, Ahmad A. Zahreldin, Hongzheng Zhang, Liang Zhang, Baohong Zhang, Bei Zhang, Chunxia Zhang, Jing-Song Zhang, Lan Zhang, Li Zhang, Qunzhou Zhang, Zheng-Zhu Zhang, Ling Zhao, Keyuan Zhou, Limin Zhou, Dalong Zhu, Shu Zhu, Benno F. Zimmermann, Jean-Marc Zingg, Harriet L. Zuckerbraun, and Zhong Zuo

Published
2013
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