Muhammad Waseem, Irfan Mahmood, Hira Sohail, Ejaz Hussain, Hosam O. Elansary, “Quantum Painlevé Second Lax Pair and Quantum (Matrix) Analogues of Classical Painlevé II Equation”, J. Phys. Soc. Jpn., 93, № 5, 2024, 054001
Irfan Mahmood, “Quasideterminant solutions of NC Painlevé II equation with the Toda solution at n=1 as a seed solution in its Darboux transformation”, Journal of Geometry and Physics, 95, 2015, 127
Andrew Pickering, Pilar R. Gordoa, Jonathan A.D. Wattis, “The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: Scalar and matrix cases”, Physica D: Nonlinear Phenomena, 391, 2019, 72
P.R. Gordoa, A. Pickering, Z.N. Zhu, “Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation”, Physics Letters A, 377, № 19-20, 2013, 1345
I. Bobrova, V. Sokolov, 789, The Diverse World of PDEs, 2023, 41
C M Field, F W Nijhoff, H W Capel, “Exact solutions of quantum mappings from the lattice KdV as multi-dimensional operator difference equations”, J. Phys. A: Math. Gen., 38, № 43, 2005, 9503
V. E. Adler, V. V. Sokolov, “Matrix Painlevé II equations”, Theor Math Phys, 207, № 2, 2021, 560
M. Irfan, “Lax pair representation and Darboux transformation of noncommutative Painlevé’s second equation”, Journal of Geometry and Physics, 62, № 7, 2012, 1575
Александр Васильевич Михайлов, Alexander Vasil'evich Mikhailov, Александр Васильевич Михайлов, Alexander Vasil'evich Mikhailov, Владимир Вячеславович Соколов, Vladimir Vyacheslavovich Sokolov, “Интегрируемые обыкновенные дифференциальные уравнения на свободных ассоциативных алгебрах”, ТМФ, 122, № 1, 2000, 88
P.R. Gordoa, A. Pickering, Z.N. Zhu, “Bäcklund transformations for a matrix second Painlevé equation”, Physics Letters A, 374, № 34, 2010, 3422