BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A COUPLED NONLINEAR WAVE SYSTEM

By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transform a kind of coupled nonlinear wave equations into three-dimension d...

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Veröffentlicht in:	Applied mathematics and mechanics 2005-07, Vol.26 (7), p.838-847
1. Verfasser:	张骥骧李继彬
Format:	Artikel
Sprache:	eng
Schlagworte:	Hopf分歧存在性稳定性行波解非线性方程
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Beschreibung
Zusammenfassung:	By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transform a kind of coupled nonlinear wave equations into three-dimension dynamical systems. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above solutions are given.
ISSN:	0253-4827 1573-2754
DOI:	10.1007/bf02464232