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

被引：0

作者：

Zhang Huan ^{[1
]}

Tian Bo ^{[1
,2
,3
]}

Zhang Hai-Qiang ^{[1
]}

Geng Tao ^{[1
]}

Meng Xiang-Hua ^{[1
]}

Liu Wen-Jun ^{[1
]}

Cai Ke-Jie ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2008年 / 50卷 / 05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：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For describing various complex nonlinear phenomena in the realistic world, the higher-dimensional nonlinear evolution equations appear more attractive in many fields of physical and engineering sciences. In this paper, by virtue of the Hirota bilinear method and Riemann theta functions, the periodic wave solutions for the (2+1)-deimensional Boussinesq equation and (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation are obtained. Furthermore, it is shown 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

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