摘要
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.
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.
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.41175058,11071205,1202106,and 11101349)
the Carbon Budget and Relevant Issues of the Chinese Academy of Sciences(Grant Nos.XDA01020304,KJ2012A001,and KJ2012Z245)
the Natural Science Foundation of the Education Department of Anhui Province,China(Grant No.KJ2011A135)
the Natural Science Foundation of Jiangsu Province,China(Grant No.BK2011042)
