Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
| dc.creator | Tu, Ming-Hsien | |
| dc.date | 1998-11-15 | |
| dc.date.accessioned | 2026-07-07T06:17:41Z | |
| dc.date.available | 2026-07-07T06:17:41Z | |
| dc.description | We study the additional symmetries associated with the $q$-deformed Kadomtsev-Petviashvili ($q$-KP) hierarchy. After identifying the resolvent operator as the generator of the additional symmetries, the $q$-KP hierarchy can be consistently reduced to the so-called $q$-deformed constrained KP ($q$-cKP) hierarchy. We then show that the additional symmetries acting on the wave function can be viewed as infinitesimal Bäcklund transformations by acting the vertex operator on the tau-function of the $q$-KP hierarchy. This establishes the Adler-Shiota-van Moerbeke formula for the $q$-KP hierarchy. | |
| dc.description | 9 pages, Revtex, no figures | |
| dc.identifier | https://arxiv.org/abs/solv-int/9811010 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9811010 | |
| dc.identifier | Lett. Math. Phys., 49(2): 95-103, July 1999 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94469 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations | |
| dc.type | text |