A new coupled sub-equations expansion method and novel complexiton solutions of (2+1)-dimensional Burgers equation

被引:13
作者
Wang, Qi [1 ]
Song, Lina
Zhang, Hongqing
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
关键词
coupled sub-equations method; complexiton solution; (2+1)-dimensional Burgers equation;
D O I
10.1016/j.amc.2006.08.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, based on symbolic computation and the idea of rational expansion method, a new coupled sub-equations method is devised to uniformly construct a series of exact complexiton solutions for nonlinear evolution equations. Compared with most existing tanh function methods and other sophisticated methods, the proposed method not only recover some known solutions, but also find some new and general solutions which include many new types of complexiton solutions. The efficiency of the method can be demonstrated on (2 + 1)-dimensional Burgers equation. (c) 2006 Published by Elsevier Inc.
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页码:632 / 637
页数:6
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