On classification of non-abelian Painlev\'e type systems
classification
🌊 nlin.SI
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systemsnon-abelianpainlevtextautonomousclassificationcorrespondingfind
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We find all non-abelian generalizations of $\text{P}_1 - \text{P}_6$ Painlev\'e systems such that the corresponding autonomous system obtained by freezing the independent variable is integrable. All these systems have isomonodromic Lax representations.
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