Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2022

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

Résumé

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.

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Dates et versions

hal-03126096 , version 1 (30-01-2021)
hal-03126096 , version 2 (21-02-2021)
hal-03126096 , version 3 (14-05-2021)
hal-03126096 , version 4 (21-11-2021)
hal-03126096 , version 5 (21-03-2022)

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Phan van Tin. CONSTRUCTION OF MULTI-SOLITONS AND MULTI KINK-SOLITONS OF DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS. Nonlinear Analysis: Theory, Methods and Applications, 2022, 221, pp.112915. ⟨10.1016/j.na.2022.112915⟩. ⟨hal-03126096v5⟩
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