DG-MP-PDE Seminar: Stefan Le Coz
Topic
Excited Multi-Solitons for a Nonlinear Schrödinger Equation
Speakers
Details
Abstract:
We consider a nonlinear Schrödinger equation with a general nonlinearity. In space dimension 2 or higher, this equation admits solitons (standing/traveling waves) with a fixed profile which is not a ground state. These types of profiles are called excited states. Due to instability, excited solitons are singular objects for the dynamics of NLS. Nevertheless, we will show in this talk how to exhibit solutions of NLS behaving in large time like a sum of excited solitons with high relative speeds.
