CONSTRUCTION OF THE MULTI-SOLITONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION BY A FIXED POINT METHOD

Phan van Tin (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We look for solutions to derivative nonlinear Schrodinger equations built upon ¨ solitons. We prove the existence of multi-solitons, i.e. solutions behaving at large time as the sum of finite solitons. Our proofs proceed by fixed point arguments around the desired profile, using Strichartz estimates.

Domaines: Equations aux dérivées partielles [math.AP]

Phan van Tin. CONSTRUCTION OF THE MULTI-SOLITONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION BY A FIXED POINT METHOD. 2021. ⟨hal-03126096v1⟩