Asymptotic stability of the solitary waves for the generalized Kawahara equation

André Kabakouala (1)

1 RUDN - Peoples Friendship University of Russia [RUDN University]

In Kabakouala and Molinet [7] we construct two families if solitary waves of the gKW equation and we prove that they are obitally stable. In this paper by applying the method of Martel and Merle [12] we prove that this families of solitary waves are asymptotically stable in the energy space.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Analyse numérique [math.NA]

André Kabakouala. Asymptotic stability of the solitary waves for the generalized Kawahara equation. 2019. ⟨hal-01887343v2⟩