Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode

Published 4 Oct 2021 in math.AP | (2110.01492v1)

Abstract: For the Schr\"odinger 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 have internal mode nor resonance.

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Yvan Martel

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