一类非线性发展方程扰动系统的渐近孤子解

Journal of Jilin University Science Edition

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Asymptotic Solitary Solution of Disturbed System fora Class of Nonlinear Developed Equation

SHI Juanrong^1,2, CHEN Xianfeng¹, MO Jiaqi³

1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. Anhui Technical College of Mechanical and Electrical Engineering, Wuhu 241002, Anhui Province, China;3. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China

Received:2015-04-27 Online:2016-03-26 Published:2016-03-23
Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

Abstract

Abstract:

A class of disturbed system of nonlinear developed equation was studied via a specific undetermined functions and functional mapping methods. Firstly, using a travelling wave transform, we converted the developed equation into nonlinear differential equation, and obtained the solitary solution of a corresponding nondisturbed differential system via a set of undetermined functions. And then, the asymptotic solitary travelling wave solution for an original disturbed system of nonlinear developed equation was obtained by using the functional mapping iterative relational expressions.

Key words: solitary, asymptotic solution, nonlinear system

CLC Number:

O175.29

SHI Juanrong, CHEN Xianfeng, MO Jiaqi. Asymptotic Solitary Solution of Disturbed System fora Class of Nonlinear Developed Equation[J].Journal of Jilin University Science Edition, 2016, 54(02): 234-240.

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Asymptotic Solitary Solution of Disturbed System fora Class of Nonlinear Developed Equation

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