BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS OF M-N-WANG EQUATION | Zendy

Weihong Mao | Zendy

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BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS OF M-N-WANG EQUATION

Author(s) -

Weihong Mao

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190113

Subject(s) - phase portrait , traveling wave , peakon , periodic wave , mathematical physics , mathematical analysis , derivative (finance) , mathematics , physics , bifurcation , quantum mechanics , nonlinear system , integrable system , financial economics , economics

By using the method of dynamical systems to Mikhailov-NovikovWang Equation, through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system of the derivative φ(ξ) of the wave function ψ(ξ). Under different parameter conditions, for φ(ξ), exact explicit solitary wave solutions, periodic peakon and anti-peakon solutions are obtained. By integrating known φ(ξ), nine exact explicit traveling wave solutions of ψ(ξ) are given.

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