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Article

Classification of Hamiltonian Non-Abelian Painlevé Type Systems

Journal of Nonlinear Mathematical Physics. 2023. Vol. 30. No. 2. P. 646–662.
Bobrova I., Sokolov V.

All Hamiltonian non-abelian Painlevé systems of P1−P6 type with constant coefficients are found. For P1−P5 systems, we replace an appropriate inessential constant parameter with a non-abelian constant. To prove the integrability of new P′3 and P5 systems thus obtained, we find isomonodromic Lax pairs for them.