On matrix Painlev\'e II equations
Exactly Solvable and Integrable Systems
2021-07-20 v1 Mathematical Physics
math.MP
Abstract
The Painlev\'e--Kovalevskaya test is applied to find three matrix versions of the Painlev\'e II equation. All these equations are interpreted as group-invariant reductions of integrable matrix evolution equations, which makes it possible to construct isomonodromic Lax pairs for them.
Cite
@article{arxiv.2012.05639,
title = {On matrix Painlev\'e II equations},
author = {V. E. Adler and V. V. Sokolov},
journal= {arXiv preprint arXiv:2012.05639},
year = {2021}
}
Comments
13 pages