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

被引：97
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.
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页码：399 / 406
页数：8
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