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KAM theorem for the nonlinear Schrödinger equation. (Théorème de type KAM pour l‘équation de Schrödinger non linéaire.)


Grébert, B; Kappeler, T (1998). KAM theorem for the nonlinear Schrödinger equation. (Théorème de type KAM pour l‘équation de Schrödinger non linéaire.). Comptes Rendus de l’Académie des Sciences - Series I - Mathematics, 327(5):473-478.

Abstract

In this Note we prove the persistence of finite-dimensional invariant tori associated with the defocusing nonlinear Schrödinger equation under small Hamiltonian perturbations. The invariant tori are not necessarily small.

In this Note we prove the persistence of finite-dimensional invariant tori associated with the defocusing nonlinear Schrödinger equation under small Hamiltonian perturbations. The invariant tori are not necessarily small.

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2 citations in Web of Science®
1 citation in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:quasiperiodic solutions; Birkhoff variables; defocusing nonlinear Schrödinger equation; Hamiltonian system; small Hamiltonian perturbations; invariant tori
Language:French
Date:1998
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:26
Publisher:Elsevier
ISSN:0764-4442
Additional Information:English summary
Publisher DOI:https://doi.org/10.1016/S0764-4442(99)80025-1
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0913.35125
http://www.ams.org/mathscinet-getitem?mr=1652566

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