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nlin.SI2021★ 12 cited
On matrix Painlevé-4 equations. Part 2: Isomonodromic Lax pairs
Irina Bobrova, Vladimir Sokolov
For all non-equivalent matrix systems of Painlevé-4 type found by authors in arXiv:2107.11680, isomonodromic Lax pairs are presented. Limiting transitions from these systems to mat…
math.CA2021★ 12 cited
On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test
Irina Bobrova, Vladimir Sokolov
Using the Painlevé--Kovalevskaya test, we find several new matrix generalizations of the Painlevé-4 equation. Some limiting transitions reduce them to known matrix Painlevé-2 equat…