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Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation

Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation

Abstract This is the second article in a suite of articles investigating relations between Stäckel‐type systems and Painlevé‐type systems. In this paper, we construct isomonodromic Lax representations for Painlevé‐type systems found in the previous paper by Frobenius integrable deformations of Stäckel‐type systems. We first construct isomonodromic Lax representations for Painlevé‐type …