On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test
Preprint
Abstract
Using the Painlev\'e--Kovalevskaya test, we find several new matrix generalizations of the Painlev\'e-4 equation. Some limiting transitions reduce them to known matrix Painlev\'e-2 equations.Keywords
All Related Versions
- Version 1, 2021-07-24, ArXiv
- Version 2, 2021-10-24, ArXiv
- Published version: Nonlinearity, 35 (12), 6528.
This publication has 6 references indexed in Scilit:
- О матричных уравнениях Пенлеве PII2021
- Painlevé type reductions for the non-Abelian Volterra lattices *Journal of Physics A: Mathematical and Theoretical, 2020
- Non-commutative generalization of integrable quadratic ODE systemsLetters in Mathematical Physics, 2019
- Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equationJournal of Physics A: Mathematical and Theoretical, 2010
- On the Painlevé test for non-Abelian equationsPhysics Letters A, 1998
- Dressing chains and the spectral theory of the Schrödinger operatorFunctional Analysis and Its Applications, 1993