On the Bi-Hamiltonian Theory for the Harry Dym Equation
| dc.creator | Pedroni, Marco | |
| dc.creator | Sciacca, Vincenzo | |
| dc.creator | Zubelli, Jorge P. | |
| dc.date | 2001-12-17 | |
| dc.date.accessioned | 2026-07-07T04:28:49Z | |
| dc.date.available | 2026-07-07T04:28:49Z | |
| dc.description | We describe how the Harry Dym equation fits into the the bi-Hamiltonian formalism for the Korteweg-de Vries equation and other soliton equations. This is achieved by means of a certain Poisson pencil constructed from two compatible Poisson structures. We obtain an analogue of the Kadomtsev-Petviashivili hierarchy whose reduction leads to the Harry Dym hierarchy. We call such system the HD-KP hierarchy. Then, we construct an infinite system of ordinary differential equations (in infinitely many variables) that is equivalent to the HD-KP hierarchy. Its role is analogous to the one played by the Central System for the Kadomtsev-Petviashivili hierarchy. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0112035 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0112035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56938 | |
| dc.subject | Mathematical Physics | |
| dc.title | On the Bi-Hamiltonian Theory for the Harry Dym Equation | |
| dc.type | text |