On Weierstrass elliptic function solutions for a (N+1) dimensional potential KdV equation

被引：13
作者：
Guo, Yunxi [1 ]
Wang, Ying [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Dept Sci, Zigong 643000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 20期
关键词：
Potential KdV equation; The Weierstrass elliptic function solutions; Solitary wave solutions; Periodic solution; TANH METHOD; COMPACTONS;
D O I：
10.1016/j.amc.2011.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with several aspects of travelling wave solutions for a (N+1) dimensional potential KdV equation. The Weierstrass elliptic function solutions, the Jaccobi elliptic function solutions, solitary wave solutions, periodic wave solutions to the equation are acquired under certain circumstances. It is shown that the coefficients of derivative terms in the equation cause the qualitative changes of physical structures of the solutions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：8080 / 8092
页数：13
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