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

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
Xuchang University

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

17 Scopus citations

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.

Original language	English
Pages (from-to)	1048-1055
Number of pages	8
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/j.cnsns.2006.10.004
State	Published - Aug 2008

Keywords

Bifurcation theory
Dynamical system
The generalized Sinh-Gordon equation
Traveling wave solutions

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10.1016/j.cnsns.2006.10.004

Cite this

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title = "Bifurcations of traveling wave solutions for a generalized Sinh-Gordon equation",

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.",

keywords = "Bifurcation theory, Dynamical system, The generalized Sinh-Gordon equation, Traveling wave solutions",

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AU - Tang, Yaning

AU - Xu, Wei

AU - Shen, Jianwei

AU - Gao, Liang

PY - 2008/8

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

UR - https://www.scopus.com/pages/publications/36448931222

U2 - 10.1016/j.cnsns.2006.10.004

DO - 10.1016/j.cnsns.2006.10.004

M3 - 文章

AN - SCOPUS:36448931222

SN - 1007-5704

VL - 13

SP - 1048

EP - 1055

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

Abstract

Keywords

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