A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation

被引：117
|
作者：
Wang, Q
Chen, Y [1 ]
Zhang, HQ
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
[3] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
[4] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[5] Chinese Acad Sci, MM Key Lab, Beijing 100080, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 25卷 / 05期
基金：
中国博士后科学基金;
关键词：
D O I：
10.1016/j.chaos.2005.01.039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a new Riccati equation rational expansion method to uniformly construct a series of exact solutions for nonlinear evolution equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recover some known solutions, but also find some new and general solutions. The solutions obtained in this paper include rational triangular periodic wave solutions, rational solitary wave solutions and rational wave solutions. The efficiency of the method can be demonstrated on (2 + 1)-dimensional Burgers equation. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：1019 / 1028
页数：10
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