Discrete canonical system and non-Abelian Toda lattice: Backlund-Darboux transformation and Weyl functions
| dc.creator | Sakhnovich, Alexander | |
| dc.date | 2003-11-02 | |
| dc.date | 2004-01-31 | |
| dc.date.accessioned | 2026-07-07T07:50:40Z | |
| dc.date.available | 2026-07-07T07:50:40Z | |
| dc.description | A version of the iterated Bäcklund-Darboux transformation, where Darboux matrix takes a form of the transfer matrix function from the system theory, is constructed for the discrete canonical system and Non-Abelian Toda lattice. Results on the transformations of the Weyl functions, insertion of the eigenvalues, and construction of the bound states are obtained. A wide class of the explicit solutions is given. An application to the semi-infinite block Jacobi matrices is treated. | |
| dc.description | Second version: Section on the explicit solutions and results on the bound states and insertion of eigenvalues are added, the presentation is slightly changed | |
| dc.identifier | https://arxiv.org/abs/nlin/0311004 | |
| dc.identifier | http://arxiv.org/abs/nlin/0311004 | |
| dc.identifier | Math. Nachr. 280, No.5-6, 631-653 (2007) | |
| dc.identifier | doi:10.1002/mana.200410506 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125242 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Discrete canonical system and non-Abelian Toda lattice: Backlund-Darboux transformation and Weyl functions | |
| dc.type | text |