Exact periodic solitary wave solutions for the (2+1)-dimensional Boussinesq equation

被引：28
|
作者：
Liu, Changfu [1 ]
Dai, Zhengde [2 ]
机构：
[1] Wenshan Univ, Dept Math & Phys, Wenshan 663000, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 367卷 / 02期
关键词：
Two-dimensional Boussinesq equation; The extended ansatz function method; Periodic solitary wave solution; WATER;
D O I：
10.1016/j.jmaa.2010.01.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exact periodic solitary wave solutions for the (2 + 1)-dimensional Boussinesq equation are obtained by using the extended ansatz function method. Detailed behavior of the propagation of the periodic solitary wave solutions for the (2 + 1)-dimensional Boussinesq equation is illustrated by using the method of figure analysis. The result shows that it is entirely possible for the (2 + 1)-dimensional integrable equations or non-integrable equations that there exist periodic solitary waves in the different direction. The propagation of the periodic solitary waves is actually phase shifts of solitons, and the amplitudes of non-singular periodic solitary waves depend on frequency and wave number of periodic wave. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：444 / 450
页数：7
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