A KAM algorithm for the resonant non--linear Schr\"odinger equation
Analysis of PDEs
2017-09-08 v3 Dynamical Systems
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.
Cite
@article{arxiv.1211.4242,
title = {A KAM algorithm for the resonant non--linear Schr\"odinger equation},
author = {M. Procesi and C. Procesi},
journal= {arXiv preprint arXiv:1211.4242},
year = {2017}
}