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Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation. (English) Zbl 1221.35378
Summary: 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.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
37C29Homoclinic and heteroclinic orbits
Software:
Maple