Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation

被引：9

作者：

Li, Ji-bin ^{[1
,2
]}

He, Tian-lan ^{[1
]}

机构：

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

[2] Zhejiang Normal Univ, Dept Math, Hangzhou 321004, Zhejiang, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2010年 / 26卷 / 02期

基金：

中国国家自然科学基金;

关键词：

kink wave solution; periodic wave solution; qualitative method; bifurcation; elliptic function;

D O I：

10.1007/s10255-008-8139-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of planar dynamical systems, in different parameter regions, the phase portraits of the corresponding traveling wave system are given. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions are obtained.

引用

页码：283 / 306

页数：24

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