The separability and dynamical $r$-matrix for the constrained flows of Jaulent-Miodek hierarchy
| dc.creator | Zeng, Yunbo | |
| dc.date | 1995-09-25 | |
| dc.date.accessioned | 2026-07-07T09:17:49Z | |
| dc.date.available | 2026-07-07T09:17:49Z | |
| dc.description | We show here the separability of Hamilton-Jacobi equation for a hierarchy of integrable Hamiltonian systems obtained from the constrained flows of the Jaulent-Miodek hierarchy. The classical Poisson structure for these Hamiltonian systems is constructed. The associated $r$-matrices depend not only on the spectral parameters, but also on the dynamical variables and, for consistency, have to obey the classical Yang-Baxter equations of dynamical type. Some new solutions of classical dynamical Yang-Baxter equations are presented. Thus these integrable systems provide examples both for the dynamical $r$-matrix and for the separable Hamiltonian system not having a natural Hamiltonian form. | |
| dc.description | 12 pages in LaTeX | |
| dc.identifier | https://arxiv.org/abs/solv-int/9509009 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9509009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153807 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | The separability and dynamical $r$-matrix for the constrained flows of Jaulent-Miodek hierarchy | |
| dc.type | text |