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On classification of non-abelian Painlev\'e type systems
- Publication Year :
- 2023
-
Abstract
- 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.
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2303.10347
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2023.104885