Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation

被引：15
作者：
Chen, Aiyong [1 ,2 ]
Huang, Wentao [1 ]
Li, Jibin [2 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期
关键词：
Qualitative theory; Periodic wave solution; Solitary wave solution; Zhiber-Shabat equation; BIFURCATIONS; SMOOTH;
D O I：
10.1016/j.cam.2008.12.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation are studied by using qualitative theory of polynomial differential system. The phase portraits of system are given under different parametric conditions. Some exact travelling wave solutions of the Zhiber-Shabat equation are obtained. The results presented in this paper improve the previous results. (C) 2008 Elsevier B.V. All rights reserved.
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页码：559 / 569
页数：11
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