We prove, by applying a KAM algorithm, existence of large families of stable and unstable quasi periodic solutions for the NLS in any number of independent frequencies. The main tools are the existence of a non-degenerate integrable normal form proved in previous papers by the authors and a suitable generalization of the quasi-Toplitz functions.
C., P., Procesi, M. (2015). A KAM algorithm for the resonant non-linear Schrödinger equation. ADVANCES IN MATHEMATICS, 272, 399-470 [10.1016/j.aim.2014.12.004].
A KAM algorithm for the resonant non-linear Schrödinger equation
PROCESI, MICHELA
2015-01-01
Abstract
We prove, by applying a KAM algorithm, existence of large families of stable and unstable quasi periodic solutions for the NLS in any number of independent frequencies. The main tools are the existence of a non-degenerate integrable normal form proved in previous papers by the authors and a suitable generalization of the quasi-Toplitz functions.File in questo prodotto:
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