arXiv subjects

P. Alvarez-Caudevilla

Publications and source records attributed to P. Alvarez-Caudevilla.

2 recordsLinked to original sources

arXiv2016

A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations

We prove existence and multiplicity of bound and ground state solutions, under appropriate conditions on the parameters, for a bi-harmonic stationary system of coupled nonlinear Schrödinger--Korteweg-de Vries equations.

math.AP↗

arXiv2009

Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation

We show that various asymptotic properties of global solutions of a fourth-order quasilinear thin film equation can be described by branching from corresponding solutions of the linear bi-harmonic equation. This includes a countable family of self-similar solutions and other aspects.

math.AP↗