Lame equation and asymptotic higher-order periodic solutions to nonlinear evolution equations

被引：9
|
作者：
Liu Guan-Ting [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 212卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lame equation; Asymptotic higher-order periodic solution; Perturbation method; VARIANT BOUSSINESQ EQUATIONS; FUNCTION EXPANSION METHOD; WAVE SOLUTIONS; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.amc.2009.02.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on an auxiliary Lame equation and the perturbation method, a direct method is proposed to construct asymptotic higher-order periodic solutions to some nonlinear evolution equations. It is shown that some asymptotic higher-order periodic solutions to some nonlinear evolution equations in terms of Jacobi elliptic functions are explicitly obtained with the aid of symbolic computation. (C) 2009 Elsevier Inc. All rights reserved.
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页码：312 / 317
页数：6
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