CONSTRUCTION OF THE MULTI-SOLITONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION BY A FIXED POINT METHOD
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. Our proofs proceed
by fixed point arguments around the desired profile, using Strichartz estimates.
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