The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations

被引：110
作者：
Zhou, YB [1 ]
Wang, ML
Miao, TD
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
[2] Lanzhou Univ, Dept Mech, Lanzhou 730000, Peoples R China
[3] Henan Univ Sci & Technol, Dept Math & Phys, Luoyang 471039, Peoples R China
来源：
PHYSICS LETTERS A | 2004年 / 323卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
nonlinear partial differential equations; Davey-Stewartson equations; generalized zakharov equations; nonlinear Schrodinger equatiom; F-expansion method; periodic wave solutions; Jacobi elliptic functions; solitary wave solutions;
D O I：
10.1016/j.physleta.2004.01.056
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The periodic wave solutions for a class of nonlinear partial differential equations, including the Davey-Stewartson equations and the generalized Zakharov equations, are obtained by using the F-expansion method, which can be regarded as an overall generalization of the Jacobi elliptic function expansion method recently proposed. In the limit cases the solitary wave solutions of the equations are also obtained. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：77 / 88
页数：12
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