Historical remarks to finite-gap integration theory: elementary treatment of the theory
| dc.creator | Brezhnev, Yu. V. | |
| dc.date | 2005-04-24 | |
| dc.date.accessioned | 2026-07-07T05:36:26Z | |
| dc.date.available | 2026-07-07T05:36:26Z | |
| dc.description | In the example of the Schrödinger/KdV equation we give elementary treatment of the theory of finite-gap integration. The concept is equivalent to two kinds of Liouvillian integrability: quadrature integrability of linear differential equations with a parameter (spectral problem) and Liouville's integrability of finite-dimensional Hamiltonian systems (stationary KdV--equations). Three key objects in this field: the new explicit formula for the $Ψ$-function, trace formula and the Jacobi problem provide a complete solution. Appendix contains Russian translation of two papers of J.Drach | |
| dc.description | 23 pages; in Russian | |
| dc.identifier | https://arxiv.org/abs/nlin/0504051 | |
| dc.identifier | http://arxiv.org/abs/nlin/0504051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80992 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Historical remarks to finite-gap integration theory: elementary treatment of the theory | |
| dc.type | text |