ON THE ORBITAL STABILITY OF THE DEGASPERIS-PROCESI ANTIPEAKON-PEAKON PROFILE - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2019

ON THE ORBITAL STABILITY OF THE DEGASPERIS-PROCESI ANTIPEAKON-PEAKON PROFILE

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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hal-02418545 , version 1 (19-12-2019)

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Bashar Khorbatly, Luc Molinet. ON THE ORBITAL STABILITY OF THE DEGASPERIS-PROCESI ANTIPEAKON-PEAKON PROFILE. 2019. ⟨hal-02418545⟩
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