Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation

The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generali...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2009-09, Vol.14 (9-10), p.3561-3573
Hauptverfasser: Xie, Shaolong, Cai, Jionghui
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description The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated.
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subjects Compactons
Extended reduced Ostrovsky equation
Generalized kink waves
Heteroclinic orbits
Open orbits
title Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation
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