BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN A MICROSTRUCTURED SOLID MODEL

被引：7
|
作者：
Li, Jibin [1 ,2 ]
Chen, Guanrong [3 ]
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, Hong Kong, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Kink wave solution; periodic wave solution; breaking wave solution; second class of singular traveling wave system; bifurcation; micro-structured solid model;
D O I：
10.1142/S0218127413500090
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The traveling wave system of a microstructured solid model belongs to the second class of singular traveling wave equations studied in [Li et al., 2009]. In this paper, by using methods from dynamical systems theory, bifurcations of phase portraits of such a traveling wave system are analyzed in its corresponding parameter space. The existence of kink wave solutions and uncountably infinitely many bounded solutions is proved. Moreover, the exact parametric representations of periodic solutions and homoclinic orbits are obtained.
引用
收藏
页数：18
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