Asymptotic solving method for period solution to a class of disturbed nonlinear evolution equation
Yao Jing-Sun (姚静荪)a, Lin Wan-Tao (林万涛)b, Du Zeng-Ji (杜增吉)c, Mo Jia-Qi (莫嘉琪)a
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
Abstract A class of disturbed evolution equation is considered using a simple and valid technique. We first introduce periodic traveling-wave solution of a corresponding typical evolution equation. And then the approximate solution for an original disturbed evolution equation is obtained using the asymptotic method. And 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.
Received: 27 April 2012
Revised: 15 May 2012
Accepted manuscript online:
PACS:
02.30.Sa
(Functional analysis)
Fund: 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), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042).
Corresponding Authors:
Yao Jing-Sun
E-mail: jsyao@mail.ahnu.edu.cn
Cite this article:
Yao Jing-Sun (姚静荪), Lin Wan-Tao (林万涛), Du Zeng-Ji (杜增吉), Mo Jia-Qi (莫嘉琪) Asymptotic solving method for period solution to a class of disturbed nonlinear evolution equation 2012 Chin. Phys. B 21 120205
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