On Triply Periodic Wave Solutions for (2+1)-Dimensional Boussinesq Equation

被引：3
|
作者：
Wang Jun-Min [1 ]
机构：
[1] Henan Univ Finance & Law, Dept Math & Informat, Zhengzhou 450002, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 57卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hirota bilinear method; theta functions; periodic wave solutions; (2+1)-dimensional Boussinesq equation; EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; SYSTEM; TODA;
D O I：
10.1088/0253-6102/57/4/07
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By employing Hirota bilinear method and Riemann theta functions of genus one, explicit triply periodic wave solutions for the (2+1)-dimensional Boussinesq equation are constructed under the Backlund transformation u = (1/6) (u(0) - 1) + 2 [ln f (x, y, t)] (xx), four kinds of triply periodic wave solutions are derived, and their long wave limit are discussed. The properties of one of the solutions are shown in Fig. 1.
引用
收藏
页码：563 / 567
页数：5
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