Abstract
Abstract
Using the Painlevé–Kovalevskaya test, we find several polynomial matrix systems, which can be regarded as non-commutative generalisations of the Painlevé-4 equation. For these systems isomonodromic Lax pairs are presented. Limiting transitions that reduce them to known matrix Painlevé-2 equations are found.
Funder
RF Government Grant
Ministry of Science and Higher Education of the Russian Federation
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
7 articles.
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