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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https://hal.archives-ouvertes.fr/hal-02418545
Contributor : Luc Molinet <>
Submitted on : Thursday, December 19, 2019 - 9:21:40 PM
Last modification on : Monday, January 13, 2020 - 1:18:22 AM

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  • HAL Id : hal-02418545, version 1
  • ARXIV : 1912.10895

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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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