Vianney Combet

We consider the problem of existence and uniqueness of multi-soliton solutions for the L²-supercritical generalized Korteweg-de Vries equation. We recall that a multi-soliton is a solution which behaves as a sum of N solitons in large time. After a...

This talk will focus on one of thenumerous aspects of nonlinear dispersive equations brilliantly introduced by Ian during a previous talk: solitons. i will try first to explain how they arise in the study of such equations, then how the power in...