Abstract
We prove that many finite dimensional tori, invariant under the flow of the defocusing nonlinear Schrödinger equation, persist under small Hamiltonian perturbations.These invariant tori are not necessarily close to the zero solution.
Grébert, B; Kappeler, T (2003). Perturbations of the defocusing nonlinear Schrödinger equation. Milan Journal of Mathematics, 71:141-174.
Abstract
We prove that many finite dimensional tori, invariant under the flow of the defocusing nonlinear Schrödinger equation, persist under small Hamiltonian perturbations.These invariant tori are not necessarily close to the zero solution.
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: | KAM theory, persistence of invariant tori, nonlinear Schrödinger equation, small perturbations |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 23 Jan 2022 14:37 |
| Publisher: | Birkhäuser |
| ISSN: | 1424-9286 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00032-002-0018-2 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2120919 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1048.37067 |
Grébert, B