On classification of non-abelian Painlev\'e type systems
Exactly Solvable and Integrable Systems
2023-07-19 v1
Abstract
We find all non-abelian generalizations of Painlev\'e systems such that the corresponding autonomous system obtained by freezing the independent variable is integrable. All these systems have isomonodromic Lax representations.
Keywords
Cite
@article{arxiv.2303.10347,
title = {On classification of non-abelian Painlev\'e type systems},
author = {Irina Bobrova and Vladimir Sokolov},
journal= {arXiv preprint arXiv:2303.10347},
year = {2023}
}