Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach
| dc.creator | Kostov, N. A. | |
| dc.date | 1999-04-16 | |
| dc.date.accessioned | 2026-07-07T06:17:48Z | |
| dc.date.available | 2026-07-07T06:17:48Z | |
| dc.description | We consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solutions are expressed in terms of Novikov polynomials in general quais-periodic case. For periodic case these polynomials coincide with Hermite and Lamé polynomials. As byproduct we derive $2\times 2$ matrix Lax representation for Rosochatius-Wojciechiwski, Rosochatius, second flow of stationary nonlinear vectro Schrödinger equations and complex Neumann system. | |
| dc.description | 31 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/solv-int/9904016 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9904016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94514 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach | |
| dc.type | text |