On the Stability of Peakons and the Sum of Peakons for the Degasperis-Procesi Equation with Strong Dispersion
Résumé
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 [9] (Theorem 1.1), [6] (Theorem 1.1) and [8] (Theorem 3.1). Also, we extend the result of stability of ordered trains of peakons obtained in [8] (Theorem 1.1), to the Degasperis-Procesi equation with strong dispersion.
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