Separation of variables for bi-Hamiltonian systems
| dc.creator | Falqui, Gregorio | |
| dc.creator | Pedroni, Marco | |
| dc.date | 2002-04-15 | |
| dc.date.accessioned | 2026-07-07T05:34:02Z | |
| dc.date.available | 2026-07-07T05:34:02Z | |
| dc.description | We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called omega-N manifolds, to give intrisic tests of separability (and Staeckel separability) for Hamiltonian systems. The separation variables are naturally associated with the geometrical structures of the omega-N manifold itself. We apply these results to bi-Hamiltonian systems of the Gel'fand-Zakharevich type and we give explicit procedures to find the separated coordinates and the separation relations. | |
| dc.description | Latex, 47 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0204029 | |
| dc.identifier | http://arxiv.org/abs/nlin/0204029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80211 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Separation of variables for bi-Hamiltonian systems | |
| dc.type | text |