1 citations · 2 across the 3 of their papers we have counts for
7 papers
Local well-posedness for the gKdV equation on the background of a bounded function
José Manuel Palacios
We prove the local well-posedness for the generalized Korteweg-de Vries equation in , , under general assumptions on the nonlinearity , on the backgro…
Orbital stability and instability of periodic wave solutions for -models
Gong Chen, José M. Palacios
In this work we study the orbital stability/instability in the energy space of a specific family of periodic wave solutions of the general -model for all .…
Orbital stability and instability of periodic wave solutions for the -model
José Manuel Palacios
In this work we find explicit periodic wave solutions for the classical -model, and study their corresponding orbital stability/instability in the energy space. In particular,…
Orbital and asymptotic stability of a train of peakons for the Novikov equation
José Manuel Palacios
The Novikov equation is an integrable Camassa-Holm type equation with cubic nonlinearity. One of the most important features of this equation is the existence of peakon and multi-p…
Asymptotic stability of peakons for the Novikov equation
José Manuel Palacios
The Novikov equation is a Camassa-Holm type equation with cubic nonlinearity. This paper aims to prove the asymptotic stability of peakons solutions under -perturb…
Dispersive blow-up and persistence properties for the Schrödinger-Korteweg-de Vries system
Felipe Linares, Jose Manuel Palacios
We study the dispersive blow-up phenomena for the Schrödinger-Korteweg-de Vries (S-KdV) system. Roughly, dispersive blow-up has being called to the development of point singulariti…