#2355. Asymptotic stability of the Degasperis–Procesi antipeakon–peakon profile

September 2026publication date
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Journal’s subject area:
Analysis;
Applied Mathematics;
Computational Mathematics;
Engineering (all);
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Abstract:
The study is based on the statement that the Degasperis–Procesi antipeakon–peakon profile is asymptotically stable for all time. Firstly, proving the asymptotic stability of a single Degasperis–Procesi peakon and antipeakon is connected with respect to perturbations having a momentum density that is first negative and then positive. Then this result is extended towards a well-ordered trains of antipeakons–peakons under such perturbations.
Keywords:
Antipeakon–peakon profile; Asymptotic stability; Degasperi–Procesi equation

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