Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

被引：1228

作者：

Liu, SK ^{[1
]}

Fu, ZT

Liu, SD

Zhao, Q

机构：

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

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

来源：

PHYSICS LETTERS A | 2001年 / 289卷 / 1-2期

关键词：

Jacobi elliptic function; nonlinear equation; cnoidal wave solution;

D O I：

10.1016/S0375-9601(01)00580-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Jacobi elliptic function expansion method, which is more general than the hyperbolic tangent function expansion method, is proposed to construct the exact periodic solutions of nonlinear wave equations. It is shown that the periodic solutions obtained by this method include some shock wave solutions and solitary wave solutions. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：69 / 74

页数：6

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