KAM theorem for the nonlinear Schrodinger equation

Citation
B. Grebert et T. Kappeler, KAM theorem for the nonlinear Schrodinger equation, J NONL M PH, 8, 2001, pp. 133-138
Citations number
16
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Year of publication
2001
Supplement
S
Pages
133 - 138
Database
ISI
SICI code
1402-9251(200102)8:<133:KTFTNS>2.0.ZU;2-5
Abstract
We prove the persistence of finite dimensional invariant tori associated wi th the defocusing nonlinear Schrodinger equation under small Hamiltonian pe rturbations. The invariant tori are not necessarily small.