Soliton solution and bifurcation analysis of the Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation with power law nonlinearity

被引：39

作者：

Biswas, Anjan ^{[1
]}

Song, Ming ^{[2
,3
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[2] S China Univ Technol, Dept Math, Guangzhou 510640, Peoples R China

[3] Yuxi Normal Univ, Fac Sci, Dept Math, Yuxi 653100, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Solitons; Bifurcations; Integrability; TRAVELING-WAVE SOLUTIONS; EVOLUTION;

D O I：

10.1016/j.cnsns.2012.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation with power law nonlinearity. First the soliton solution is obtained by the aid of traveling wave hypothesis and along with it the constraint conditions fall out naturally, in order for the soliton solution to exist. Subsequently, the bifurcation analysis of this equation is carried out and the fixed points are obtained. The phase portraits are also analyzed for the existence of other solutions. (C) 2012 Elsevier B. V. All rights reserved.

引用

页码：1676 / 1683

页数：8

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