4 citations · 5 across the 2 of their papers we have counts for
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A finite difference scheme for smooth solutions of the general mKdV equation
Jesus Noyola-Rodriguez, Georgy Omel'yanov
We consider a generalization of the mKdV model of shallow water out-flows. This generalization is a family of equations with nonlinear dispersion terms containing, in particular, K…
Solitons and peaked solitons for the general Degasperis-Procesi model
J. Noyola Rodriguez, G. Omel'yanov
We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Cam…
Soliton dynamics for the general Degasperis-Procesi equation
Georgy Omel'yanov
We consider the general Degasperis-Procesi model of shallow water out-flows. This fife parametric family of conservation laws contains, in particular, KdV, Camassa-Holm, and Degasp…
Interaction of 3 solitons for the GKdV-4 equation
Georgy Omel'yanov
We describe an approach to construct multi-soliton asymptotic solutions for non-integrable equations. The general idea is realized in the case of three waves and for the KdV-type e…