The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation

被引：37

作者：

He, Bin ^{[1
]}

Meng, Qing ^{[2
]}

Long, Yao ^{[1
]}

机构：

[1] Honghe Univ, Coll Math, Mengzi 661100, Yunnan, Peoples R China

[2] Honghe Univ, Dept Phys, Mengzi 661100, Yunnan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Kudryashov-Sinelshchikov equation; Bifurcation; Soliton; Periodic wave; Exact travelling wave solution; VISCOSITY; LIQUIDS;

D O I：

10.1016/j.cnsns.2012.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Kudryashov-Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, the existence of peakon, solitary wave, smooth and non-smooth periodic waves is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, some new exact travelling wave solutions are presented through some special phase orbits. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：4137 / 4148

页数：12

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