A Characterization of All Elliptic Solutions of the AKNS Hierarchy
| dc.creator | Gesztesy, Fritz | |
| dc.creator | Weikard, Rudi | |
| dc.date | 1997-05-28 | |
| dc.date.accessioned | 2026-07-07T09:18:00Z | |
| dc.date.available | 2026-07-07T09:18:00Z | |
| dc.description | An explicit characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy is presented. Our approach is based on (an extension of) a classical theorem of Picard, which guarantees the existence of solutions which are elliptic of the second kind for n-th order ordinary differential equations with elliptic coefficients associated with a common period lattice. As by-products we offer a detailed Floquet analysis of Dirac-type differential expressions with periodic coefficients, specifically emphasizing algebro-geometric coefficients, and a constructive reduction of singular hyperelliptic curves and their Baker-Akhiezer functions to the nonsingular case. | |
| dc.description | LaTeX | |
| dc.identifier | https://arxiv.org/abs/solv-int/9705018 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9705018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153872 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | A Characterization of All Elliptic Solutions of the AKNS Hierarchy | |
| dc.type | text |