SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION | Zendy

Lijun Zhang | Zendy; Haixia Chang | Zendy; Chaudry Masood Khalique | Zendy

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SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION

Author(s) -

Lijun Zhang,

Haixia Chang,

Chaudry Masood Khalique

Publication year - 2017

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 - 10.11948/2017086

Subject(s) - planar , dynamical systems theory , traveling wave , mathematics , mathematical analysis , bifurcation , ordinary differential equation , center manifold , order (exchange) , differential equation , physics , nonlinear system , hopf bifurcation , computer science , quantum mechanics , computer graphics (images) , finance , economics

In this paper, we study Ito’s 5th-order mKdV equation with the aid of symbolic computation system and by qualitative analysis of planar dynamical systems. We show that the corresponding higher-order ordinary differential equation of Ito’s 5th-order mKdV equation, for some particular values of the parameter, possesses some sub-manifolds defined by planar dynamical systems. Some solitary wave solutions, kink and periodic wave solutions of the Ito’s 5th-order mKdV equation for these particular values of the parameter are obtained by studying the bifurcation and solutions of the corresponding planar dynamical systems.

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