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

被引：1

作者：

ZHANG Huan TIAN Bo ZHANG HaiQiang GENG Tao MENG XiangHua LIU WenJun CAI KeJie School of SciencePOBox Beijing University of Posts and TelecommunicationsBeijing China State Key Laboratory of Software Development EnvironmentBeijing University of Aeronautics and AstronauticsBeijing China Key Laboratory of Optical Communication and Lightwave TechnologiesMinistry of EducationBeijing University of Posts and TelecommunicationsBeijing China ^{[1
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机构：

来源：

CommunicationsinTheoreticalPhysics | 2008年 / 50卷 / 11期

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：

<正> 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

页码：1169 / 1176

页数：8