New exact solutions for three nonlinear evolution equations

被引:66
|
作者
Yao, RX
Li, ZB [1 ]
机构
[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
[2] Weinan Teachers Coll, Dept Comp Sci, Weinan 714000, Shaanxi, Peoples R China
关键词
D O I
10.1016/S0375-9601(02)00294-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using the general solutions of a coupled Riccati equations and the relations between them a direct algebra method is described to construct several kinds of closed-form travelling wave solutions for some nonlinear differential equations. By this method three important nonlinear partial differential equations are studied and, in addition to rederiving all known solutions, several new solutions are explicitly obtained with the aid of symbolic computation. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:196 / 204
页数:9
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