On matrix Painlevé-4 equations. Part 2: Isomonodromic Lax pairs

Abstract

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 matrix Painlevé-2 equations are found.

References in corpus (2)

• On the Linearization of the Painleve' III-VI Equations and Reductions of the Three-Wave Resonant System
• On the Linearization of the First and Second Painleve' Equations

Cited by in corpus (5)

• Non-Abelian Toda lattice and analogs of Painlevé III equation
• On classification of non-abelian Painlevé type systems
• Classification of Hamiltonian non-abelian Painlevé type systems
• Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces
• Non-abelian Painlevé systems with generalized Okamoto integral