Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds
| dc.creator | Teschl, Gerald | |
| dc.date | 2006-06-26 | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T09:51:10Z | |
| dc.date.available | 2026-07-07T09:51:10Z | |
| dc.description | We investigate the algebraic conditions the scattering data of short-range perturbations of quasi-periodic finite-gap Jacobi operators have to satisfy. As our main result we provide the Poisson-Jensen-type formula for the transmission coefficient in terms of Abelian integrals on the underlying hyperelliptic Riemann surface and give an explicit condition for its single-valuedness. In addition, we establish trace formulas which relate the scattering data to the conserved quantities in this case. | |
| dc.description | 9 pages. Bull. London Math. Soc. (to appear) | |
| dc.identifier | https://arxiv.org/abs/nlin/0606062 | |
| dc.identifier | http://arxiv.org/abs/nlin/0606062 | |
| dc.identifier | Bull. London Math. Soc. 39-4, 677-684 (2007) | |
| dc.identifier | doi:10.1112/blms/bdm038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165193 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.title | Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds | |
| dc.type | text |