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Classification of Hamiltonian non-abelian Painlev\'e type systems
- Publication Year :
- 2022
-
Abstract
- All Hamiltonian non-abelian Painlev\'e systems of ${\rm{P}}_{1}-{\rm{P}}_{6}$ type with constant coefficients are found. For ${\rm{P}}_{1}-{\rm{P}}_{5}$ systems, we replace an appropriate inessential constant parameter with a non-abelian constant. To prove the integrability of new ${\rm{P}}_{3}^{\prime}$ and ${\rm{P}}_{5}$ systems thus obtained, we find isomonodromic Lax pairs for them.<br />Comment: Some typos were fixed
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2209.00258
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s44198-022-00099-w