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An asymptotic solving method for the periodic solution of a class of disturbed nonlinear evolution equation |
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| Authors: | Yao Jing-Suna Lin Wan-Taob Du Zeng-Jic and Mo Jia-Qi |
| Affiliation: | [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 |
| Abstract: | 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. |
| Keywords: | period solution traveling wave evolution equation asymptotic method |
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