Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system

Jianwei Shen; Wei Xu; Yong Xu

doi:10.1016/j.amc.2003.12.033

Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system

Jianwei Shen, Wei Xu, Yong Xu

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.

Original language	English
Pages (from-to)	365-383
Number of pages	19
Journal	Applied Mathematics and Computation
Volume	161
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2003.12.033
State	Published - 15 Feb 2005

Keywords

Bifurcation theory
Generalized Hirota-Satsuma coupled system
Kink and anti-kink wave solution
Periodic travelling wave solution
Solitary travelling wave solution

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10.1016/j.amc.2003.12.033

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title = "Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system",

abstract = "By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.",

keywords = "Bifurcation theory, Generalized Hirota-Satsuma coupled system, Kink and anti-kink wave solution, Periodic travelling wave solution, Solitary travelling wave solution",

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AU - Xu, Wei

AU - Xu, Yong

PY - 2005/2/15

Y1 - 2005/2/15

N2 - By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.

AB - By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.

KW - Bifurcation theory

KW - Generalized Hirota-Satsuma coupled system

KW - Kink and anti-kink wave solution

KW - Periodic travelling wave solution

KW - Solitary travelling wave solution

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DO - 10.1016/j.amc.2003.12.033

M3 - 文章

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SN - 0096-3003

VL - 161

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EP - 383

JO - Applied Mathematics and Computation

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IS - 2

ER -

Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system

Abstract

Keywords

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