On the Stability of Peakons and the Sum of Peakons for the Degasperis-Procesi Equation with Strong Dispersion

André Kabakouala (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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.

Mots clés: Peakons; Degasperis-Procesi equation; Stability; Strong Dispersion

Domaines: Equations aux dérivées partielles [math.AP]

André Kabakouala. On the Stability of Peakons and the Sum of Peakons for the Degasperis-Procesi Equation with Strong Dispersion. 2015. ⟨hal-01145729v3⟩