The JEFE method and periodic solutions of two kinds of nonlinear wave equations

被引：65
|
作者：
Fu, Zuntao [1 ,2 ]
Liu, Shikuo [1 ]
Liu, Shida [1 ,2 ]
Zhao, Qiang [1 ]
机构：
[1] Beijing Univ, Sch Phys, Beijing 100871, Peoples R China
[2] Peking Univ, Dept Mech & Engn Sci, LTCS, Beijing 100871, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2003年 / 8卷 / 02期
基金：
美国国家科学基金会;
关键词：
Jacobi elliptic function; Nonlinear wave equation; Periodic solution;
D O I：
10.1016/S1007-5704(02)00082-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Jacobi elliptic function expansion (JEFE) method is applied to construct the exact periodic solutions to two kinds of nonlinear wave equations, such as BBM equation, fifth-order dispersive equation, Kawahara equation, modified Kawahara equation, second-order BO equation and symmetrical-regular long wave equation. The corresponding shock wave solutions or solitary wave solutions are obtained as special cases of the periodic solutions. It is shown that this method is very powerful for some nonlinear wave equations, and its applying domain is given. (C) 2003 Elsevier Science B.V. All rights reserved.
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页码：67 / 75
页数：9
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