Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order

被引：37

作者：

Chen, Y ^{[1
]}

Li, B ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/S0960-0779(02)00482-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a new class of nonlinear partial differential equations with nonlinear term of any order, u(tt) + a(1)u(xx) + a(2)u + a(3)u(P) + a(4)u(2P-1) = 0, which contains some particular important equations. We give a new kind of transformation and a new generalized ansatze to treat this class of equations. As a result, many explicit exact solutions, which contain new kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions and combined formal solitary-wave solutions, are obtained by the extended method. In addition, we also can derive rational solutions for this class of equations. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：675 / 682

页数：8

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