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arXiv · 1211.4242

A KAM algorithm for the resonant non--linear Schr\"odinger equation

M. Procesi·C. Procesi
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Abstract

In this note we use the normal forms of the completely resonant non--linear Schr\"odinger equation on a torus (NLS) derived in previous work in order to produce, under a KAM algorithm, large families of stable and unstable quasi periodic solutions for the NLS in any number of independent frequencies.

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M. Procesi, C. Procesi. 2012-11-18. A KAM algorithm for the resonant non--linear Schr\"odinger equation. https://doi.org/10.1016/j.aim.2014.12.004

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