On the Dubrovin Equations for the Finite-gap Potentials
| dc.creator | Brezhnev, Yurii V. | |
| dc.date | 2001-06-15 | |
| dc.date | 2001-06-21 | |
| dc.date.accessioned | 2026-07-07T05:33:33Z | |
| dc.date.available | 2026-07-07T05:33:33Z | |
| dc.description | The general technique of derivation of Dubrovin's equation for the arbitrary operator pencils is suggested. The question of unique recovering of the finite-gap potential by coordinates of zeroes of the Psi-function is discussed. The crucial result of the paper is an autonomous form of Dubrovin's equations and new trace-formulas for nontrivial spectral problems of the 3-rd order with trigonal algebraic curve. We show only demonstrative examples, the method is spread into arbitrary spectral problem including matrix ones. | |
| dc.description | 4 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0106024 | |
| dc.identifier | http://arxiv.org/abs/nlin/0106024 | |
| dc.identifier | Russ. Math. Surveys (2002), v.57(2), 415-417. Uspekhi Mat. Nauk (2002), 57(1), 191-192 (in Russian) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80033 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | On the Dubrovin Equations for the Finite-gap Potentials | |
| dc.type | text |