Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited
| dc.creator | Egorova, Iryna | |
| dc.creator | Michor, Johanna | |
| dc.creator | Teschl, Gerald | |
| dc.date | 2006-09-06 | |
| dc.date | 2007-03-26 | |
| dc.date.accessioned | 2026-07-07T12:50:58Z | |
| dc.date.available | 2026-07-07T12:50:58Z | |
| dc.description | We investigate soliton solutions of the Toda hierarchy on a quasi-periodic finite-gap background by means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton on a quasi-periodic finite-gap background. Furthermore, we consider short range perturbations via scattering theory. We give a full description of the effect of the double commutation method on the scattering data and establish the inverse scattering transform in this setting. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0609016 | |
| dc.identifier | http://arxiv.org/abs/nlin/0609016 | |
| dc.identifier | Math. Nachr. 282:4, 526--539 (2009) | |
| dc.identifier | doi:10.1002/mana.200610752 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222852 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.title | Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited | |
| dc.type | text |