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arXiv · 2107.11680

On matrix Painlev\'e-4 equations. Part 1: Painlev\'e--Kovalevskaya test

Irina Bobrova·Vladimir Sokolov
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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.

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Irina Bobrova, Vladimir Sokolov. 2021-07-24. On matrix Painlev\'e-4 equations. Part 1: Painlev\'e--Kovalevskaya test. https://doi.org/10.1088/1361-6544/ac9bc2

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