Multi-solitons and related solutions for the water-waves system

Mei Ming (1) , Frédéric Rousset (2, 3) , Nikolay Tzvetkov (4)

1 Academy of Mathematics and Systems Science [Beijing]
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 IRMAR - Institut de Recherche Mathématique de Rennes
4 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

The main result of this work is the construction of multi-solitons solutions that is to say solutions that are time asymptotics to a sum of decoupling solitary waves for the full water waves system with surface tension.

Mots clés: water waves; multi-solitons; solitary waves

Domaines: Equations aux dérivées partielles [math.AP]

Mei Ming, Frédéric Rousset, Nikolay Tzvetkov. Multi-solitons and related solutions for the water-waves system. SIAM Journal on Mathematical Analysis, 2015, 47 (1), pp.897-954. ⟨10.1137/140960220⟩. ⟨hal-00833221⟩