Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation

Yaning Tang; Wei Xu; Jianwei Shen; Liang Gao

doi:10.1016/j.cnsns.2006.10.004

Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation

Yaning Tang, Wei Xu, Jianwei Shen, Liang Gao

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions.

源语言	英语
页（从-至）	1048-1055
页数	8
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	13
期	6
DOI	https://doi.org/10.1016/j.cnsns.2006.10.004
出版状态	已出版 - 8月 2008

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10.1016/j.cnsns.2006.10.004

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abstract = "In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions.",

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AU - Tang, Yaning

AU - Xu, Wei

AU - Shen, Jianwei

AU - Gao, Liang

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Y1 - 2008/8

N2 - In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions.

AB - In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions.

KW - Bifurcation theory

KW - Dynamical system

KW - The generalized Sinh-Gordon equation

KW - Traveling wave solutions

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M3 - 文章

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 6

ER -

Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation

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