Hamiltonian Structures of KdV-Type Hierarchies and Associated W-Algebras
| dc.creator | Cheng, Yi | |
| dc.creator | Chen, Qing | |
| dc.creator | He, Jingsong | |
| dc.date | 2000-10-08 | |
| dc.date.accessioned | 2026-07-07T05:33:04Z | |
| dc.date.available | 2026-07-07T05:33:04Z | |
| dc.description | The $(n,m)^þ$ KdV hierarchy is a restriction of the KP hierarchy to a submanifold of pseudo-differential operators in a radio form. Explicit formula of the restricted Hamiltonian structure of KP is given which provides a new, more constructive proof of the isomorphism between the associated $W(n,m)$-algebra to $W_{n+m}\oplus W_m\oplus U(1)$ algebra, and the Hamiltonian property of the $(n,m)^þ$ KdV hierarchy as well as its Lax-Manakov triad representation. Similarly the Hamiltonian property for a version of modified $n^þ$ KdV and the isomorphism between $W_n$-algebra to $W_l\oplus W_m\oplus U(1)$ algebra are shown, where $l+m=n$. The role of U(1) current in both cases is also explained. | |
| dc.description | 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0010018 | |
| dc.identifier | http://arxiv.org/abs/nlin/0010018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79875 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Hamiltonian Structures of KdV-Type Hierarchies and Associated W-Algebras | |
| dc.type | text |