Exp-Function Method for a Generalized MKdV Equation | Zendy

Yuzhen Chai | Zendy; Ting-Ting Jia | Zendy; Hui-Qin Hao | Zendy; Jianwen Zhang | Zendy

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Exp-Function Method for a Generalized MKdV Equation

Author(s) -

Yuzhen Chai,

Ting-Ting Jia,

Hui-Qin Hao,

Jianwen Zhang

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/153974

Subject(s) - soliton , physics , shock wave , nonlinear system , symbolic computation , function (biology) , mathematical physics , shock (circulatory) , mathematical analysis , classical mechanics , mathematics , quantum mechanics , mechanics , medicine , evolutionary biology , biology

Under investigation in this paper is a generalized MKdV equation, which describes the propagation of shallow water in fluid mechanics. In this paper, we have derived the exact solutions for the generalized MKdV equation including the bright soliton, dark soliton, two-peak bright soliton, two-peak dark soliton, shock soliton and periodic wave solution via Exp-function method. By figures and symbolic computations, we have discussed the propagation characteristics of those solitons under different values of those coefficients in the generalized MKdV equation. The method constructing soliton solutions in this paper may be useful for the investigations on the other nonlinear mathematical physics model and the conclusions of this paper can give theory support for the study of dynamic features of models in the shallow water

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