What does integrability of finite-gap or soliton potentials mean?
| dc.creator | Brezhnev, Yu. V. | |
| dc.date | 2005-05-01 | |
| dc.date | 2006-04-17 | |
| dc.date.accessioned | 2026-07-07T09:58:18Z | |
| dc.date.available | 2026-07-07T09:58:18Z | |
| dc.description | In the example of the Schrödinger/KdV equation we treat the theory as equivalence of two concepts 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: new explicit $Ψ$-function, trace formula and the Jacobi problem provide a complete solution. The $Θ$-function language is derivable from these objects and used for ultimate representation of a solution to the inversion problem. Relations with non-integrable equations are discussed also. | |
| dc.description | Major changes. 23 pages; LaTeX | |
| dc.identifier | https://arxiv.org/abs/nlin/0505003 | |
| dc.identifier | http://arxiv.org/abs/nlin/0505003 | |
| dc.identifier | Phyl. Trans. of Royal Society A (2008), v.366(1867), March 28, 923-945 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167666 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | What does integrability of finite-gap or soliton potentials mean? | |
| dc.type | text |