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On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile
Journal of Differential Equations ( IF 2.4 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.jde.2020.03.045
Bashar Khorbatly , Luc Molinet

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.

中文翻译:

关于 Degasperis-Procesi antipeakon-peakon 剖面的轨道稳定性

在本文中,我们证明了 Degasperis-Procesi peakon 相对于动量密度先为负后为正的扰动的轨道稳定性结果。这导致反峰-峰轮廓相对于这种扰动的轨道稳定性。
更新日期:2020-09-01
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