一类广义强色散DGH方程的精确行波解

Journal of Jilin University Science Edition

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Exact and Explicit Solutions of One Type of the GeneralizedDGH Equation with Strong Dispersive Term

MENG Xia¹, FENG Dahe^1,2, XIAO Junjun¹, CHENG Yuanquan^1

1. School of Mathematics and Computational Sciences, Guilin University of Electronic Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China； 2. Guangxi Key Laboratory of Cryptography and Information Security, Guilin 541004,Guangxi Zhuang Autonomous Region, China

Received:2015-01-12 Online:2015-11-26 Published:2015-11-23
Contact: FENG Dahe E-mail:dahefeng@hotmail.com

Abstract

Abstract:

To study one type of the generalized DGH equation with strong dispersive term, the improved Fan subequation method was used to investigate the exact travelling wave solutions with the aid of MAPLE. As a result, two sets of parameters constraints and all bifurcation structure of sub-equation were obtained. Based on qualitative analysis, abundant solutions including the solitary wave solutions, kink wave solutions and periodic wave solutions were obtained, with the wave profiles of these solutions given as well.

Key words: generalized DGH equation with strong dispersive term; improved Fan subequation method, solitary wave solution, kink wave solution, periodic wave solution

CLC Number:

O175.1

MENG Xia, FENG Dahe, XIAO Junjun, CHENG Yuanquan. Exact and Explicit Solutions of One Type of the GeneralizedDGH Equation with Strong Dispersive Term[J].Journal of Jilin University Science Edition, 2015, 53(06): 1105-1111.

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Exact and Explicit Solutions of One Type of the GeneralizedDGH Equation with Strong Dispersive Term

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