On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile
arXiv:1912.10895
Abstract
In this paper, we prove an orbital stability result for the Degasperis-Procesi peakon with respect to perturbations having a momentum density that is first negative and then positive. This leads to the orbital stability of the antipeakon-peakon profile with respect to such perturbations.