Variable-coefficient projective Riccati equation method and its application to a new (2+1)-dimensional simplified eneralized Broer-Kaup system

被引：53

作者：

Huang, DJ ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

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

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2004.05.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, based on a new intermediate transformation, a variable-coefficient projective Riccati equation method is proposed. Being concise and straightforward, it is applied to a new (2 + 1)-dimensional simplified generalized Broer-Kaup (SGBK) system. As a result, several new families of exact soliton-like solutions are obtained, beyond the travelling wave. When imposing some condition on them, the new exact solitary wave solutions of the (2 + 1)-dimensional SGBK system are given. The method can be applied to other nonlinear evolution equations in mathematical physics. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：601 / 607

页数：7

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