On a Theorem of Halphen and its Application to Integrable Systems
| dc.creator | Gesztesy, Fritz | |
| dc.creator | Unterkofler, Karl | |
| dc.creator | Weikard, Rudi | |
| dc.date | 2003-05-29 | |
| dc.date.accessioned | 2026-07-07T05:34:45Z | |
| dc.date.available | 2026-07-07T05:34:45Z | |
| dc.description | We extend Halphen's theorem which characterizes the solutions of certain $n$th-order differential equations with rational coefficients and meromorphic fundamental systems to a first-order $n \times n$ system of differential equations. As an application of this circle of ideas we consider stationary rational algebro-geometric solutions of the $\kdv$ hierarchy and illustrate some of the connections with completely integrable models of the Calogero-Moser-type. In particular, our treatment recovers the complete characterization of the isospectral class of such rational KdV solutions in terms of a precise description of the Airault-McKean-Moser locus of their poles. | |
| dc.description | LaTeX, 19 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0305058 | |
| dc.identifier | http://arxiv.org/abs/nlin/0305058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80491 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | On a Theorem of Halphen and its Application to Integrable Systems | |
| dc.type | text |