A Remark on the Stability of Peakons for the Degasperis-Procesi Equation
Andr\'e Kabakouala
TL;DR
This paper introduces a new argument to simplify the proof of peakon stability for the Degasperis-Procesi equation, building on prior work by Lin and Liu.
Contribution
A novel argument that streamlines the proof of peakon stability for the Degasperis-Procesi equation, enhancing understanding of its stability properties.
Findings
Simplified proof of peakon stability
New lemma (Lemma 3.4) facilitating the proof
Reinforcement of stability results from Lin and Liu (2009)
Abstract
In this paper, we present a new argument (see Lemma 3.4) that allows us to simplify the proof of stability of peakons established in Lin and Liu (2009) (Theorem 1.1).
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