扰动Benjamin方程物理模型的孤波解

J4 ›› 2011, Vol. 49 ›› Issue (04): 659-663.

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Solitary Wave Solution for Physical Model ofDisturbed Benjamin Equation

XU Yonghong¹, WEN Zhaohui², XU Hui², MO Jiaqi^3,4

1. Department of Mathematics &|Physics, Bengbu College, Bengbu 233030, Anhui Province, China;2. School of Statistics &|Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, China|3. Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui Province, China;4. Division of Computational Science, EInstitutes of Shanghai Universities at SJTU, Shanghai 200240, China

Received:2010-10-11 Online:2011-07-26 Published:2011-08-16
Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

Abstract

Abstract:

The physical model of generalized nonlinear disturbed Benjamin equation was considered. The homotopic mapping method was used to construct corresponding homotopic mapping. And then suitable initial approximation was selected, and the arbitrary order approximate solution of the soliton was calculated. A weakly disturbed equation was studied. The accuracy for the obtained approximate soliton was compared, and it was found that the obtained approximate soliton by the homotopic mapping method is of a good accuracy.

Key words: nonlinear, Benjamin equation, solitary wave, approximate analytic solution

CLC Number:

O175.29

HU Yong-Gong, WEN Chao-Hui, XU Hui, MO Jia-Qi-. Solitary Wave Solution for Physical Model ofDisturbed Benjamin Equation[J].J4, 2011, 49(04): 659-663.

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Solitary Wave Solution for Physical Model ofDisturbed Benjamin Equation

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