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arxiv: 2110.12159 · v1 · pith:SZO7UYD3new · submitted 2021-10-23 · 🌊 nlin.SI · math-ph· math.MP

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

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keywords matrixpainlevequationsfoundisomonodromicpairssystemsarxiv
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For all non-equivalent matrix systems of Painlev\'e-4 type found by authors in arXiv:2107.11680, isomonodromic Lax pairs are presented. Limiting transitions from these systems to matrix Painlev\'e-2 equations are found.

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