PLANAR BIFURCATION METHOD OF DYNAMICAL SYSTEM FOR INVESTIGATING DIFFERENT KINDS OF BOUNDED TRAVELLING WAVE SOLUTIONS OF A GENERALIZED CAMASSA-HOLM EQUATION | Zendy

Shaolong Xie | Zendy; Xiaochun Hong | Zendy; Tao Jiang | Zendy

Open Access

PLANAR BIFURCATION METHOD OF DYNAMICAL SYSTEM FOR INVESTIGATING DIFFERENT KINDS OF BOUNDED TRAVELLING WAVE SOLUTIONS OF A GENERALIZED CAMASSA-HOLM EQUATION

Author(s) -

Shaolong Xie,

Xiaochun Hong,

Tao Jiang

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 - 10.11948/2017019

Subject(s) - bifurcation , bounded function , mathematical analysis , planar , cusp (singularity) , mathematics , camassa–holm equation , traveling wave , physics , geometry , nonlinear system , integrable system , computer graphics (images) , quantum mechanics , computer science

In this study, by using planar bifurcation method of dynamical system, we study a generalized Camassa-Holm (gCH) equation. As results, under different parameter conditions, many bounded travelling wave solutions such as periodic waves, periodic cusp waves, solitary waves, peakons, loops and kink waves are given. The dynamic properties of these exact solutions are investigated.

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