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.
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页码：563 / 567
页数：5
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