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EDP : Yvan Martel (LMV) : Stabilité asymptotique des ondes solitaires de l’équation de Schrödinger cubique-quintique 1D sans mode interne.
EDP : Yvan Martel (LMV) : Stabilité asymptotique des ondes solitaires de l’équation de Schrödinger cubique-quintique 1D sans mode interne.
For the Schrödinger equation with a cubic-quintic, focusing-defocusing nonlinearity in one space dimension, we prove the asymptotic stability of solitary waves for a large range of admissible frequencies. For this model, the linearized problem around the solitary waves does not