Peakons of a generalized Camassa-Holm equation with bifurcation theory of dynamical system

被引：1

作者：

Sun, Min ^{[1
]}

Li, Jing ^{[1
]}

Quan, TingTing ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

ADVANCED RESEARCH ON APPLIED MECHANICS AND MANUFACTURING SYSTEM | 2013年 / 252卷

关键词：

Bifurcation; Camassa-Holm equation; transform of traveling wave; dynamical system; SHALLOW-WATER EQUATION; WAVE SOLUTIONS; SOLITONS;

D O I：

10.4028/www.scientific.net/AMM.252.36

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the peakons and bifurcations in a generalized Camassa-Holm equation are studied by using the bifurcation method and qualitative theory of dynamical systems. First, the averaged equation is obtained by introducing linear transform and traveling wave transform to the generalized Camassa-Holm equation. Then, we applied the bifurcation theory of planar dynamical system and maple software to investigate the averaged equation. The phase portrait of the system under a parameter condition is obtained. Finally, we get the peakons from the limit of general single solitary wave solution.

引用

页码：36 / 39

页数：4

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