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.
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.
Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General 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: | 07 Jan 2025 04:41 |
| Publisher: | Elsevier |
| ISSN: | 0764-4442 |
| Additional Information: | English summary |
| OA Status: | Closed |
| 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 |
Download
Links
Statistics
Citations
Dimensions.ai Metrics
Grébert, B