Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System | Zendy

Qing Meng | Zendy; Bin He | Zendy

Open Access

Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System

Author(s) -

Qing Meng,

Bin He

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/379109

Subject(s) - traveling wave , component (thermodynamics) , bifurcation , parametric statistics , mathematics , mathematical analysis , point (geometry) , parameter space , space (punctuation) , bifurcation theory , physics , geometry , computer science , nonlinear system , statistics , quantum mechanics , thermodynamics , operating system

This paper focuses on a generalized two-component Hunter-Saxton system. From a dynamic point of view, the existence of different kinds of periodic wave, solitary wave, and blow-up wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, some exact parametric representations of the travelling waves are presented

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