On classification of non-abelian Painlevé type systems
Abstract
We find all non-abelian generalizations of P1 -P6 Painlevé systems such that the corresponding autonomous system obtained by freezing the independent variable is integrable. All these systems have isomonodromic Lax representations.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- September 2023
- DOI:
- arXiv:
- arXiv:2303.10347
- Bibcode:
- 2023JGP...19104885B
- Keywords:
-
- Non-abelian ODEs;
- Painlevé equations;
- Isomonodromic Lax pairs;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- doi:10.1016/j.geomphys.2023.104885