Bifurcations of traveling wave solutions for Zhiber-Shabat equation

Yaning Tang; Wei Xu; Jianwei Shen; Liang Gao

doi:10.1016/j.na.2006.06.024

Bifurcations of traveling wave solutions for Zhiber-Shabat equation

Yaning Tang
, Wei Xu
, Jianwei Shen
, Liang Gao

School of Mathematics and Statistics

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

16 Scopus citations

Abstract

In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.

Original language	English
Pages (from-to)	648-656
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	67
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2006.06.024
State	Published - 15 Jul 2007

Keywords

Bifurcation theory of dynamical systems
The Zhiber-Shabat equation
Traveling wave solutions

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10.1016/j.na.2006.06.024

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title = "Bifurcations of traveling wave solutions for Zhiber-Shabat equation",

abstract = "In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.",

keywords = "Bifurcation theory of dynamical systems, The Zhiber-Shabat equation, Traveling wave solutions",

author = "Yaning Tang and Wei Xu and Jianwei Shen and Liang Gao",

year = "2007",

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T1 - Bifurcations of traveling wave solutions for Zhiber-Shabat equation

AU - Tang, Yaning

AU - Xu, Wei

AU - Shen, Jianwei

AU - Gao, Liang

PY - 2007/7/15

Y1 - 2007/7/15

N2 - In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.

AB - In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.

KW - Bifurcation theory of dynamical systems

KW - The Zhiber-Shabat equation

KW - Traveling wave solutions

UR - https://www.scopus.com/pages/publications/34047260080

U2 - 10.1016/j.na.2006.06.024

DO - 10.1016/j.na.2006.06.024

M3 - 文章

AN - SCOPUS:34047260080

SN - 0362-546X

VL - 67

SP - 648

EP - 656

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Bifurcations of traveling wave solutions for Zhiber-Shabat equation

Abstract

Keywords

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