Bilinear forms and solitonic stability for a variable-coefficient Hirota-Satsuma coupled Korteweg-de Vries system in a liquid

Chen, Yu-Qi; Tian, Bo; Wei, Cheng-Cheng; Yang, Dan-Yu

doi:10.1016/j.physleta.2023.128865

Cited by 2 publications

(3 citation statements)

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“…On this basis, the solution is numerically simulated and a series of evolution figures of solitons are given. This equation can be regarded as a special form studied in [25]. Different from [25], we focus on the influence of variable coefficient functions on 1, 2, 3-soliton solutions.…”

Section: Discussionmentioning

confidence: 99%

“…This equation can be regarded as a special form studied in [25]. Different from [25], we focus on the influence of variable coefficient functions on 1, 2, 3-soliton solutions. We give the numerical simulation results of soliton solutions when the variable coefficient function takes more types of functions to show its influence more directly.…”

Section: Discussionmentioning

confidence: 99%

“…Nonlinear evolution equations represent many physical applications and dynamic processes [24]. In [25], the authors studied the following class of coupling equations with variable coefficients:…”

Section: Introductionmentioning

confidence: 99%

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N-soliton solutions of Hirota-Satsuma coupled KdV equations with variable coefficients

Wang,

Zhang

2023

Phys. Scr.

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In this paper, we propose a class of generalized variable coefficient Hirota-Satsuma coupled KdV equations, which take into account the inhomogeneity of medium and boundary conditions, and can be used to describe long-wave interactions with different dispersion relationships. The bilinear equations with variable coefficients are obtained by the Hirota bilinear method, 1,2,3, N-soliton solutions are obtained by the perturbation method. In addition, the effects of variable coefficient functions on 1, 2, and 3-soliton solutions are analyzed by numerical simulation, and conclusions are drawn.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%