Multi-solitons in nonlinear Schrödinger equations

Speaker：Stefan Le Coz（University of Toulouse）

Time：2026-7-9 10:00

Location：Conference Room S105 at Experiment Building at Haiyun Campus

Abstract:

The soliton resolution conjecture asserts that any global solution of the nonlinear Schrödinger equations decomposes in large time into a sum of solitons and a dispersive remainder. We will start by reviewing briefly the history of the discovery of solitons and multi-solitons. We will then illustrate the soliton resolution conjecture on a toy model. Finally, we will present various results that are milestones towards a proof of this conjecture: soliton stability, existence and stability of multi-solitons.