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Travelling Wave Solution for Dust DiffusionEquation in Atmosphere

FENG Yihu¹, LIN Wantao², MO Jiaqi³

1. Department of Electronics and Information Engineering, Bozhou College, Bozhou 236800, Anhui Province,China； 2. State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China； 3. Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui Province, China

Received:2016-01-25 Online:2016-11-26 Published:2016-11-29
Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

Abstract

Abstract: A class of diffusion equation for dust plasma in atmosphere was considered. Firstly, we took a travelling wave transformation for equation, and turned into a travelling wave equation. Secondly, we introduced a functional, set variation was zero, and determined the Lagrange operator. Then we constructed a generalized variational iteration and determined the zeroth order approximate soliton solution, and derived the any order approximate soliton solutions by iterative. Finally, we used the travelling wave transformation to obtain the any order approximate travelling wave solutions of the soliton for the original equation.

Key words: diffusion equation, plasma, atmospheric dust, travelling wave solution, soliton solution

CLC Number:

O175.29

FENG Yihu, LIN Wantao, MO Jiaqi. Travelling Wave Solution for Dust DiffusionEquation in Atmosphere[J].Journal of Jilin University Science Edition, 2016, 54(06): 1199-1204.

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Travelling Wave Solution for Dust DiffusionEquation in Atmosphere

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