New explicit solitary wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation

被引：133

作者：

Chen, Y ^{[1
]}

Yan, ZY ^{[1
]}

Zhang, H ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China

来源：

PHYSICS LETTERS A | 2003年 / 307卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equation; KP equation; HBM; Riccati equation; solitary wave solution; periodic wave solution;

D O I：

10.1016/S0375-9601(02)01668-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：107 / 113

页数：7

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