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Your search keyword '"Long, Chun"' showing total 2 results
Start Over Author "Long, Chun" Topic lump Publication Type Periodicals
2 results on '"Long, Chun"'

1. Dynamics of multi-solitons, multi-lumps and hybrid solutions in (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation.

Author

Zhu, Chen, Long, Chun-Xiao, Zhou, Yi-Ting, Wei, Peng-Fei, Ren, Bo, and Wang, Wan-Li

Abstract

The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation. The bilinear form of the (2+1)-dimensional KdVSKR equation is obtained by the independent transformation. The multi-solitons are obtained by solving the Hirota bilinear form of the (2+1)-dimensional KdVSKR equation. By using the long wave limit method, the multi-order lumps, interaction between lump and solitons are derived. The paths of lump wave can be given by calculating the critical points of the lump wave. The dynamics of these solutions are shown both in numerical simulations and graphs ways. • The (2+1)-dimensional KdVSKR equation is proposed based on the (1+1)- dimensional KdVSKR equation. • The multi-solitons are obtained by solving the Hirota bilinear form. • The multi-lumps and lump-solitons are derived by the long wave limit method. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation.

Author

Wei, Peng-Fei, Long, Chun-Xiao, Zhu, Chen, Zhou, Yi-Ting, Yu, Hui-Zhen, and Ren, Bo

Subjects
*ELASTIC scattering, *MOLECULES, *EQUATIONS, *ROGUE waves, *SOLITONS
Abstract

The (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani (KdVSKR) equation which consists of the KdV equation and the SK equation is studied. Soliton molecules of the KdVSKR equation are given by means of the velocity resonance mechanism. By selecting the values of the phases, soliton molecule bounded by the three solitons is transferred to other type of the soliton molecule bounded by the asymmetric soliton and one soliton. Multi-breather solutions are derived by selecting the complex conjugate relations in the parameters. The relative positions for the maximum amplitudes of the multi-breathers can adjust with different values of the phases. It demonstrates that the phases of the multi-soliton solutions play an important effect in certain phenomena. In the meanwhile, the interactions between a soliton molecule and one-order breather, and between a soliton molecule and one-order lump of the KdVSKR equation are analyzed. The interactions are an elastic collisions by both the analytical and graphical ways. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
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