4 citations · 5 across the 2 of their papers we have counts for
3 papers
math.AP2018
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…
math.AP2017★ 1 cited
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…
math.AP2015★ 4 cited
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…