4 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
Solitary wave solutions of a generalization of the mKdV equation
J. Noyola Rodriguez, G. Omel'yanov
We consider a generalization of the mKdV equation, which contains dissipation terms similar to those contained in both the Benjamin-Bona-Mahoney equation and the famous Camassa-Hol…
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…
Collision of solitons for a non-homogenous version of the KdV equation
Georgy Omel'yanov
We consider KdV-type equations with nonhomogeneous nonlinearities and small dispersion . The first result consists in the conclusion that, in the leading term wi…
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…