A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations

被引：19
|
作者：
Chen, Y [1 ]
Wang, Q
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[3] Chinese Acad Sci, MM Key Lab, Beijing 100080, Peoples R China
[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 173卷 / 02期
基金：
中国博士后科学基金;
关键词：
travelling wave solution; elliptic equation rational expansion method; rational form solitary wave solutions; shallow long wave approximate equation;
D O I：
10.1016/j.amc.2005.04.061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new elliptic equation rational expansion method is presented by a new general ansatz, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solution for nonlinear partial differential equation and implemented in a computer algebraic system. The proposed method is applied to consider the shallow long wave approximate equation and obtains rich new families of the exact solutions, including rational form solitary wave, rational form triangular periodic, rational form Jacobi and Weierstrass doubly periodic solutions. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1163 / 1182
页数：20
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