Bifurcations of traveling wave and breather solutions of a general class of nonlinear wave equations

被引：20

作者：

Li, JB ^{[1
]}

Chen, GR

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China

[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 09期

关键词：

bifurcation; nonlinear wave equation; solitary traveling wave solution; kink and anti-kink solution; breather solution; periodic traveling wave solution; breaking wave solution;

D O I：

10.1142/S0218127405013770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Bifurcations of a general class of traveling wave solutions are analyzed. In particular, the existence of solitary wave, kink and anti-kink wave solutions, and uncountably infinite periodic wave solutions and breather solutions of a general class of traveling wave equations is proved. Also, the existence of breaking wave solution is discussed in detail. Under different parametric conditions, several sufficient conditions for the existence of these solutions are derived. Sufficient simulation results are provided to visualize the theoretical results.

引用

页码：2913 / 2926

页数：14

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