An asymptotic solving method for the periodic solution of a class of disturbed nonlinear evolution equation

A class of disturbed evolution equation is considered using a simple and valid technique. We first introduce the periodic traveling-wave solution of a corresponding typical evolution equation. Then the approximate solution for an original disturbed evolution equation is obtained using the asymptotic...

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Published inChinese physics B Vol. 21; no. 12; pp. 37 - 41
Main Author 姚静荪 林万涛 杜增吉 莫嘉琪
Format Journal Article
LanguageEnglish
Published 01.12.2012
Subjects
Approximation
Asymptotic methods
Asymptotic properties
Evolution
Functional analysis
Mathematical analysis
Nonlinear evolution equations
Theorems
不动点定理
周期行波解
周期解
干扰
求解方法
渐近方法
演化方程
非线性发展方程
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/12/120205

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Summary:A class of disturbed evolution equation is considered using a simple and valid technique. We first introduce the periodic traveling-wave solution of a corresponding typical evolution equation. Then the approximate solution for an original disturbed evolution equation is obtained using the asymptotic method. We point out that the series of approximate solution is convergent and the accuracy of the asymptotic solution is studied using the fixed point theorem for the functional analysis.
Bibliography:Yao Jing-Sun, Lin Wan-Tao, Du Zeng-Ji, and Mo Jia-Qi a） Department of Mathematics, Anhui Normal University, Wuhu 241003, China b） State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China c） School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China
period solution, traveling wave, evolution equation asymptotic method
A class of disturbed evolution equation is considered using a simple and valid technique. We first introduce the periodic traveling-wave solution of a corresponding typical evolution equation. Then the approximate solution for an original disturbed evolution equation is obtained using the asymptotic method. We point out that the series of approximate solution is convergent and the accuracy of the asymptotic solution is studied using the fixed point theorem for the functional analysis.
11-5639/O4
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SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/12/120205