An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4)
| dc.creator | Dragovic, Vladimir | |
| dc.creator | Gajic, Borislav | |
| dc.date | 1999-11-30 | |
| dc.date.accessioned | 2026-07-07T04:33:07Z | |
| dc.date.available | 2026-07-07T04:33:07Z | |
| dc.description | We present an L-A pair for the Apel'rot case of a heavy rigid 3-dimensional body. Using it we give an algebro-geometric integration procedure. Generalizing this L-A pair, we obtain a new completely integrable case of the Euler-Poisson equations in dimension four. Explicit formulae for integrals which are in involution are given. This system is a counterexample to one well known Ratiu's theorem. Corrected version of this classification theorem is proved. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/9911047 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9911047 | |
| dc.identifier | Roy. Soc. of Edinburgh: Proc A, 131, 2001, 845-855 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58455 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 58F05 | |
| dc.title | An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4) | |
| dc.type | text |