Orateur
Sandrine Grellier
(Université d'Orléans/IDP)
Description
We investigate the long–time behaviour of the solutions of the cubic Szegö equation on the line in the Sobolev space of order 1/2. We prove that, for every datum of which the Lax operator has simple positive spectrum, the solution asymptotically decouples as an infinite sum of traveling quasi–periodic breather solutions. Under an additional generic condition on the data, we prove that these traveling breather solutions are in fact soliton
solutions, leading to a soliton resolution theorem.