On an equation arising by reduction of the Drinfeld-Sokolov hierarchy
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911883237261312 |
|---|---|
| author | Conte, R. |
| author_facet | Conte, R. |
| contents | A seventh order ordinary differential equation (ODE) arising by reduction of the Drinfeld-Sokolov hierarchyis shown to be identical to a similarity reduction of an equationin the hierarchy of Sawada-Kotera.We also exhibit its link with a particular F-VI,a fourth order ODE isolated by Cosgrove which is likely to define a higher order Painlevé function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an equation arising by reduction of the Drinfeld-Sokolov hierarchy Conte, R. Exactly Solvable and Integrable Systems A seventh order ordinary differential equation (ODE) arising by reduction of the Drinfeld-Sokolov hierarchyis shown to be identical to a similarity reduction of an equationin the hierarchy of Sawada-Kotera.We also exhibit its link with a particular F-VI,a fourth order ODE isolated by Cosgrove which is likely to define a higher order Painlevé function. |
| title | On an equation arising by reduction of the Drinfeld-Sokolov hierarchy |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2405.12606 |