On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test
arXiv:2107.11680 · doi:10.1088/1361-6544/ac9bc2
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 (11)
- Cluster integrable systems, q-Painleve equations and their quantization
- On the Linearization of the Painleve' III-VI Equations and Reductions of the Three-Wave Resonant System
- Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
- Non-commutative Painleve' equations and Hermite-type matrix orthogonal polynomials
- Quantisation ideals of nonabelian integrable systems
- Noncommutative Painlevé equations and systems of Calogero type
- Painlevé type reductions for the non-Abelian Volterra lattices
- On matrix Painlevé II equations
- On the Linearization of the First and Second Painleve' Equations
- Quantum Painlevé Equations: from Continuous to Discrete
- Non-commutative generalization of integrable quadratic ODE systems
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