# On matrix Painlev\'e-4 equations. Part 2: Isomonodromic Lax pairs

@inproceedings{Bobrova2021OnMP, title={On matrix Painlev\'e-4 equations. Part 2: Isomonodromic Lax pairs}, author={Irina Bobrova and Vladimir Sokolov}, year={2021} }

For all non-equivalent matrix systems of Painlevé-4 type found by authors in [4], isomonodromic Lax pairs are presented. Limiting transitions from these systems to matrix Painlevé-2 equations are found.

## 2 Citations

Non-Abelian Toda lattice and analogs of Painlev\'e III equation

- Mathematics, Physics
- 2022

In integrable models, stationary equations for higher symmetries serve as one of the main sources of reductions consistent with dynamics. We apply this method to the nonAbelian two-dimensional Toda…

A fully noncommutative analog of the Painlev\'e IV equation and a structure of its solutions

- Mathematics
- 2022

. 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…

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