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