Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22856
Kappeler, T (1991). Fibration of the phase space for the Korteweg-de Vries equation. Annales de l'institut Fourier, 41(3):539-575.
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Abstract
In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to
-gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Language: | English |
| Date: | 1991 |
| Deposited On: | 18 Feb 2010 12:14 |
| Last Modified: | 20 Oct 2012 12:28 |
| Publisher: | Association des Annales de l'Institut Fourier |
| ISSN: | 0373-0956 |
| Additional Information: | © 1991 Annales de L'Institut Fourier |
| Official URL: | http://aif.cedram.org/item?id=AIF_1991__41_3_539_0 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1136595 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0731.58033 http://www.numdam.org/item?id=AIF_1991__41_3_539_0 |
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