On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test

Abstract

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 equations.

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