Construction of the multi-soliton trains, multi kink-soliton trains of the derivative nonlinear Schr\"odinger equations by the fixed point method - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Construction of the multi-soliton trains, multi kink-soliton trains of the derivative nonlinear Schr\"odinger equations by the fixed point method

Phan van Tin
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Résumé

We look for solutions to derivative nonlinear Schrodinger equations built upon ¨ solitons. We prove the existence of multi-soliton trains 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 train i.e multi kink-soliton trains. 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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Citer

Phan van Tin. Construction of the multi-soliton trains, multi kink-soliton trains of the derivative nonlinear Schr\"odinger equations by the fixed point method. 2021. ⟨hal-03126096v3⟩
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