Multiple soliton solutions and multiple singular soliton solutions for (2+1)-dimensional shallow water wave equations

被引:36
|
作者
Wazwaz, Abdul-Majid [1 ]
机构
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
关键词
Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions; BURGERS EQUATIONS;
D O I
10.1016/j.physleta.2009.06.026
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two (2 + 1)-dimensional shallow water wave equations are studied. The Hirota bilinear method is used to determine the multiple soliton solutions for these equations. Moreover, multiple singular soliton solutions are also derived. The analysis emphasizes the power of the bilinear method and its capability of handling completely integrable equations. (c) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2927 / 2930
页数:4
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