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Multi-solitary waves solutions for nonlinear Schrödinger systems

GSSI Maths Seminar
Thursday 22nd May, 16:15 GSSI Main Lecture Room

Dr. Rada Weishäupl

 

ABSTRACT

We consider a system of two coupled nonlinear Schrödinger equations in one dimension. We prove the existence of solutions behaving at large time as a couple of scalar solitary waves. The proof relies on a method introduced by Martel and Merle for multi solitary waves for the scalar Schrödinger equation. Finally, we present some numerical simulations to understand more the qualitative behavior of the solitary waves.