Published December 2012 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Department of Mathematics, Anhui Normal University, Wuhu 241003 (China)
  • 2. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 (China)
  • 3. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116 (China)

Description

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. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/21/12/120205

Additional details

Identifiers

DOI
10.1088/1674-1056/21/12/120205;

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
21
Journal Issue
12
Journal Page Range
[5 p.]
ISSN
1674-1056

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45026402
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACCURACY; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; DIFFERENTIAL EQUATIONS; FUNCTIONAL ANALYSIS; NONLINEAR PROBLEMS; PERIODICITY; TRAVELLING WAVES
Descriptors DEC
CALCULATION METHODS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; VARIATIONS