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On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test

Published 24 Jul 2021 in math.CA, math-ph, and math.MP | (2107.11680v2)

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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