On matrix Painlev\'e-4 equations. Part 1: Painlev\'e--Kovalevskaya test
Classical Analysis and ODEs
2022-12-06 v2 Mathematical Physics
math.MP
Abstract
Using the Painlev\'e--Kovalevskaya test, we find several new matrix generalizations of the Painlev\'e-4 equation. Some limiting transitions reduce them to known matrix Painlev\'e-2 equations.
Cite
@article{arxiv.2107.11680,
title = {On matrix Painlev\'e-4 equations. Part 1: Painlev\'e--Kovalevskaya test},
author = {Irina Bobrova and Vladimir Sokolov},
journal= {arXiv preprint arXiv:2107.11680},
year = {2022}
}