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arXiv · 1912.10895

On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile

Bashar Khorbatly·Luc Molinet
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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.

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Bashar Khorbatly, Luc Molinet. 2019-12-23. On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile. https://arxiv.org/abs/1912.10895

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