Hiroshi Kawakami, “Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems”, FE, 63, no. 1, 2020, 97
P.R. Gordoa, A. Pickering, “Auto-Bäcklund transformations for a matrix partial differential equation”, Physics Letters A, 382, no. 29, 2018, 1908
Vladimir Retakh, Vladimir Rubtsov, “Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation”, J. Phys. A: Math. Theor., 43, no. 50, 2010, 505204
I.A. Bobrova, V.V. Sokolov, “On classification of non-abelian Painlevé type systems”, Journal of Geometry and Physics, 191, 2023, 104885
Vsevolod Eduardovich Adler, Vladimir Vyacheslavovich Sokolov, “О матричных уравнениях Пенлеве PII”, Теоретическая и математическая физика, 207, no. 2, 2021, 188
Chris M. Field, Chris M. Ormerod, “An Ultradiscrete Matrix Version of the Fourth Painlevé Equation”, Adv. Differ Equ., 2007, 2007, 1
M. Bertola, M. Cafasso, “Fredholm Determinants and Pole-free Solutions to the Noncommutative Painlevé II Equation”, Commun. Math. Phys., 309, no. 3, 2012, 793
Irfan Mahmood, Muhammad Waseem, Wen-Xiu Ma, “Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation”, Advances in Mathematical Physics, 2021, 2021, 1
V. V. Tsegel’nik, “On Bäcklund transformations for some second-order nonlinear differential equations”, Theor Math Phys, 217, no. 2, 2023, 1755
P.R. Gordoa, A. Pickering, “On matrix fourth Painlevé hierarchies”, Journal of Differential Equations, 271, 2021, 499