Abstract
We show that the modified Korteweg-de Vries equation with periodic boundary conditions admits global Birkhoff coordinates on any Soblev space H with N≥1. The construction of these coordinates involves a new Lax pair for mKdV.
mKdV and its Birkhoff coordinates
Kappeler, T; Schaad, B; Topalov, P (2008). mKdV and its Birkhoff coordinates. Physica D: Nonlinear Phenomena, 237(10-12):1655-1662.
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 > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics Physical Sciences > Condensed Matter Physics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 15 July 2008 |
| Deposited On: | 09 Feb 2009 14:25 |
| Last Modified: | 05 Jan 2025 04:31 |
| Publisher: | Elsevier |
| ISSN: | 0167-2789 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.physd.2008.03.018 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2454610 |
Permanent URL
https://doi.org/10.5167/uzh-12667
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Kappeler, T