CONSTRUCTION OF MULTI-SOLITONS AND MULTI KINK-SOLITONS OF DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS

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. We also show that one can attach a kink at the begin of the sum of solitons i.e multi kink-solitons. Our proofs proceed by fixed point arguments around the desired profile, using Strichartz estimates.

Mots clés: Derivative nonlinear Schrodinger equation; multi-solitons; Strichartz estimates; Gronwall inequality

Domaines: Equations aux dérivées partielles [math.AP]

Phan van Tin. CONSTRUCTION OF MULTI-SOLITONS AND MULTI KINK-SOLITONS OF DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS. Nonlinear Analysis: Theory, Methods and Applications, In press, ⟨10.1016/j.na.2022.112915⟩. ⟨hal-03126096v5⟩