New symplectic structure for KdV
| dc.creator | Nutku, Y. | |
| dc.date | 2000-11-08 | |
| dc.date.accessioned | 2026-07-07T04:10:52Z | |
| dc.date.available | 2026-07-07T04:10:52Z | |
| dc.description | Starting with Lagrangians, which turn out to be degenerate, the Hamiltonian operators for integrable systems can be constructed using Dirac's theory of constraints. We illustrate this by giving a systematic discussion of the first Hamiltonian structure of KdV. The first symplectic 2-form obtained from Dirac's theory is the time component of the covariant Witten-Zuckerman symplectic 2-form current. We derive the flux of the first symplectic 2-form. Then we turn to a new Lagrangian for KdV recently obtained by Pavlov and present the corresponding new covariant symplectic structure for KdV. This shows that the inverse of Magri's second Hamiltonian operator is also a Hamiltonian operator for KdV. | |
| dc.description | To be published in "Integrable Hierarchies and Modern Physics Theories, NATO ARW-UIC 2000" Editors H. Aratyn and A. Sorin | |
| dc.identifier | https://arxiv.org/abs/hep-th/0011052 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0011052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50366 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | New symplectic structure for KdV | |
| dc.type | text |