17 citations · 25 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
On the asymptotic stability of the sine-Gordon kink in the energy space
Miguel A. Alejo, Claudio Muñoz, José M. Palacios
We consider the sine-Gordon (SG) equation in 1+1 dimensions. The kink is a static, non-symmetric exact solution to SG, stable in the energy space . It is well-known…
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…