On the Reductions and Classical Solutions of the Schlesinger equations
| dc.creator | Dubrovin, B. | |
| dc.creator | Mazzocco, M. | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T07:28:54Z | |
| dc.date.available | 2026-07-07T07:28:54Z | |
| dc.description | The Schlesinger equations $S_{(n,m)}$ describe monodromy preserving deformations of order $m$ Fuchsian systems with $n+1$ poles. They can be considered as a family of commuting time-dependent Hamiltonian systems on the direct product of $n$ copies of $m\times m$ matrix algebras equipped with the standard linear Poisson bracket. In this paper we address the problem of reduction of particular solutions of ``more complicated'' Schlesinger equations $S_{(n,m)}$ to ``simpler'' $S_{(n',m')}$ having $n'< n$ or $m' < m$. | |
| dc.description | 32 pages. To the memory of our friend Andrei Bolibruch | |
| dc.identifier | https://arxiv.org/abs/math/0610327 | |
| dc.identifier | http://arxiv.org/abs/math/0610327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117905 | |
| dc.subject | Differential Geometry | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 32G34 (Primary); 34M55, 53D30 (Secondary) | |
| dc.title | On the Reductions and Classical Solutions of the Schlesinger equations | |
| dc.type | text |