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Approximae solution for a class of the disturbed evolution equation

Du Zeng-Ji Mo Jia-Qi

Approximae solution for a class of the disturbed evolution equation

Du Zeng-Ji, Mo Jia-Qi
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  • Received Date:  25 November 2011
  • Accepted Date:  31 December 2011
  • Published Online:  05 August 2012

Approximae solution for a class of the disturbed evolution equation

  • 1. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China;
  • 2. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11071205, 11101349), the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042).

Abstract: A class of disturbed evolution equation is considered by a simple and valid technique. We first introduce the traveling solitary wave solution of a corresponding typical differential equation, and then use the asymptotic method to obtain the approximate solution for an original disturbed evolution equation. And we point out that the series of approximate solution is convergent and the precision of the approximate solution is discussed by using the fixed point theorem for the functional analysis.

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