Laboratoire de Mathématiques Jean Leray

Le colloquium de S. Kuksin aura lieu le Jeudi 26 Janvier 2012 Salle des séminaires

Titre: How integrable is KdV ?

ABSTRACT

It is well known since the pioneer work of Novikov (1974), Lax (1975) and McKean-Trubowitz (1976) that the KdV equation under periodic boundary conditions is an integrable infinite-dimensional Hamiltonian system. In my talk I will discuss recent results about a transformation which put this equation to the integrable normal form and the normal form itself. I will briefly mention applications of this normal form to the study of perturbed KdV equations and related open problems. I will also discuss how this is related to corresponding finite-dimensional questions.

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