New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

被引：536

作者：

Fu, ZT

Liu, SK ^{[1
]}

Liu, SD

Zhao, Q

机构：

[1] Peking Univ, Dept Geophys, Beijing 100871, Peoples R China

[2] Peking Univ, SKLTR, Beijing 100871, Peoples R China

来源：

PHYSICS LETTERS A | 2001年 / 290卷 / 1-2期

关键词：

Jacobi elliptic function; nonlinear equation; periodic wave solution;

D O I：

10.1016/S0375-9601(01)00644-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct the exact periodic solutions of nonlinear wave equations. It is shown that more new periodic solutions can be obtained by this method and more shock wave solutions or solitary wave solutions can be got at their limit condition. (C) 2001 Elsevier Science B.V All rights reserved.

引用

页码：72 / 76

页数：5

共 17 条

[1]

BOWMAN F, 1959, INTRO ELLIPTIC FUNCT

[2] Extended tanh-function method and its applications to nonlinear equations [J].