Periodic Wave Solutions for(2+1)-Dimensional Boussinesq Equation and(3+1)-Dimensional Kadomtsev-Petviashvili Equation

被引：1
|
作者：
ZHANG Huan~1 TIAN Bo~(1
机构：
来源：
Communications in Theoretical Physics | 2008年 / 50卷 / 11期
基金：
中国国家自然科学基金;
关键词：
periodic wave solutions; (2+1)-dimensional Boussinesq equation; (3+1)-dimensional KP equation; Hirota bilinear method;
D O I：
暂无
中图分类号：
O411 [物理学的数学方法];
学科分类号：
0701 ;
摘要：
For describing various complex nonlinear phenomena in the realistic world,the higher-dimensional nonlinearevolution equations appear more attractive in many fields of physical and engineering sciences.In this paper,by virtueof the Hirota bilinear method and Riemann theta functions,the periodic wave solutions for the(2+1)-dimensionalBoussinesq equation and(3+1)-dimensional Kadomtsev-Petviashvili(KP)equation are obtained.Furthermore,it isshown that the known soliton solutions for the two equations can be reduced from the periodic wave solutions.
引用
收藏
页码：1169 / 1176
页数：8
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