KP Trigonometric Solitons and an Adelic Flag Manifold
| dc.creator | Haine, Luc | |
| dc.date | 2007-01-27 | |
| dc.date.accessioned | 2026-07-07T09:34:42Z | |
| dc.date.available | 2026-07-07T09:34:42Z | |
| dc.description | We show that the trigonometric solitons of the KP hierarchy enjoy a differential-difference bispectral property, which becomes transparent when translated on two suitable spaces of pairs of matrices satisfying certain rank one conditions. The result can be seen as a non-self-dual illustration of Wilson's fundamental idea [Invent. Math. 133 (1998), 1-41] for understanding the (self-dual) bispectral property of the rational solutions of the KP hierarchy. It also gives a bispectral interpretation of a (dynamical) duality between the hyperbolic Calogero-Moser system and the rational Ruijsenaars-Schneider system, which was first observed by Ruijsenaars [Comm. Math. Phys. 115 (1988), 127-165]. | |
| dc.description | This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/nlin/0701054 | |
| dc.identifier | http://arxiv.org/abs/nlin/0701054 | |
| dc.identifier | SIGMA 3 (2007), 015, 15 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159589 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.title | KP Trigonometric Solitons and an Adelic Flag Manifold | |
| dc.type | text |