Bifurcation analysis and the travelling wave solutions of the Klein-Gordon-Zakharov equations

被引：45
|
作者：
Zhang, Zaiyun [1 ]
Xia, Fang-Li [2 ]
Li, Xin-Ping [1 ]
机构：
[1] Hunan Inst Sci & Technol, Sch Math, Yueyang 414006, Hunan, Peoples R China
[2] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China
来源：
PRAMANA-JOURNAL OF PHYSICS | 2013年 / 80卷 / 01期
关键词：
Klein-Gordon-Zakharov equations; travelling wave solutions; bifurcation analysis; KERR LAW NONLINEARITY; HYPERBOLIC FUNCTION-METHOD; SCHRODINGERS EQUATION; SOLITONS; TERMS; ORDER;
D O I：
10.1007/s12043-012-0357-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate the bifurcations and dynamic behaviour of travelling wave solutions of the Klein-Gordon-Zakharov equations given in Shang et al, Comput. Math. Appl. 56, 1441 (2008). Under different parameter conditions, we obtain some exact explicit parametric representations of travelling wave solutions by using the bifurcation method (Feng et al, Appl. Math. Comput. 189, 271 (2007); Li et al, Appl. Math. Comput. 175, 61 (2006)).
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页码：41 / 59
页数：19
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