Invariant tori for reversible nonlinear Schrödinger equations under quasi-periodic forcing

Invariant tori for reversible nonlinear Schrödinger equations under quasi-periodic forcing In this paper, by infinite-dimensional reversible KAM (Kolmogorov–Arnold–Moser) theory, we prove the existence of invariant tori (thus quasi-periodic solutions) for a class of quasi-periodically forced reversible derivative nonlinear Schrödinger equations under periodic and Dirichlet boundary conditions. In the proof, we also use Birkhoff normal form techniques. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals

Invariant tori for reversible nonlinear Schrödinger equations under quasi-periodic forcing

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
D.O.I.
10.1007/s00033-017-0849-x
Publisher site
See Article on Publisher Site

Abstract

In this paper, by infinite-dimensional reversible KAM (Kolmogorov–Arnold–Moser) theory, we prove the existence of invariant tori (thus quasi-periodic solutions) for a class of quasi-periodically forced reversible derivative nonlinear Schrödinger equations under periodic and Dirichlet boundary conditions. In the proof, we also use Birkhoff normal form techniques.

Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: Aug 14, 2017

References

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