A fully noncommutative analog of the Painlev\'e IV equation and a structure of its solutions
Mathematical Physics
2023-10-10 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We study a fully noncommutative generalisation of the commutative fourth Painlev\'e equation that possesses solutions in terms of an infinite Toda system over an associative unital division ring equipped by a derivation.
Cite
@article{arxiv.2205.05107,
title = {A fully noncommutative analog of the Painlev\'e IV equation and a structure of its solutions},
author = {Irina Bobrova and Vladimir Retakh and Vladimir Rubtsov and Georgy Sharygin},
journal= {arXiv preprint arXiv:2205.05107},
year = {2023}
}
Comments
The formula (54) was corrected. Some typos were fixed