arXiv subjects

J. Noyola Rodriguez

Publications and source records attributed to J. Noyola Rodriguez.

2 recordsLinked to original sources

arXiv2023

Solitary wave solutions of a generalization of the mKdV equation

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-Holm and Degasperis-Procesi equations. Our objective is the construction of classical (solitons) and non-classical (peakons and cuspons) solitary wave solutions of this equation.

nlin.SI↗

arXiv2018

Solitons and peaked solitons for the general Degasperis-Procesi model

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, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons ("peaked solitons").

math.AP↗