Construction of the multi-soliton trains, multi kink-soliton trains of the derivative nonlinear Schr\"odinger equations by the fixed point method
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.
Origine | Fichiers produits par l'(les) auteur(s) |
---|