New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method

被引：100

作者：

Chen, Y ^{[1
]}

Yan, ZY

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 26卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

D O I：

10.1016/j.chaos.2005.01.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, (2 + 1)-dimensional Gardner equation is investigated using a sine-Gordon equation expansion method, which was presented via a generalized sine-Gordon reduction equation and a new transformation. As a consequence, it is shown that the method is more powerful to obtain many types of new doubly periodic solutions of (2 + 1)-dimensional Gardner equation. In particular, solitary wave solutions are also given as simple limits of doubly periodic solutions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：399 / 406

页数：8

共 17 条

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Ablowitz M.J., 1991, SOLITONS NONLINEAR E

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