A Remark on the Stability of Peakons for the Degasperis-Procesi Equation

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).

References in corpus (3)

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• A New Integrable Equation with Peakon Solutions
• Stability in the energy space of the sum of N peakons for the Degasperis-Procesi equation

Cited by in corpus (2)

• A view of the peakon world through the lens of approximation theory
• A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon