A symmetry reduction technique for higher order Painlev\'e systems
classification
🌊 nlin.SI
keywords
painlevreductionsystemsdirachigherorderproceduresymmetry
read the original abstract
The symmetry reduction of higher order Painlev\'e systems is formulated in terms of Dirac procedure. A set of canonical variables that admit Dirac reduction procedure is proposed for Hamiltonian structures governing the ${A^{(1)}_{2M}}$ and ${A^{(1)}_{2M-1}}$ Painlev\'e systems for $M=2,3,...$.
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