Affine Lie group approach to a derivative nonlinear Schrödinger equatoin and its similarity reduction
| dc.creator | Kakei, Saburo | |
| dc.creator | Kikuchi, Tetsuya | |
| dc.date | 2004-03-01 | |
| dc.date | 2004-04-15 | |
| dc.date.accessioned | 2026-07-07T05:35:22Z | |
| dc.date.available | 2026-07-07T05:35:22Z | |
| dc.description | The generalized Drinfel'd-Sokolov hierarchies studied by de Groot-Hollowood-Miramontes are extended from the viewpoint of Sato-Wilson dressing method. In the A_1^(1) case, we obtain the hierarchy that include the derivative nonlinear Schrödinger equation. We give two types of affine Weyl group symmetry of the hierarchy based on the Gauss decomposition of the A_1^(1) affine Lie group. The fourth Painlevé equation and their Weyl group symmetry are obtained as a similarity reduction. We also clarify the connection between these systems and monodromy preserving deformations. | |
| dc.description | 26 pages, no figure (v2) minor corrections | |
| dc.identifier | https://arxiv.org/abs/nlin/0403001 | |
| dc.identifier | http://arxiv.org/abs/nlin/0403001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80679 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Affine Lie group approach to a derivative nonlinear Schrödinger equatoin and its similarity reduction | |
| dc.type | text |