A symmetry reduction technique for higher order Painlevé systems

Details A symmetry reduction technique for higher order Painlevé systems A symmetry reduction technique for higher order Painlevé systems

2012-04-23

arxiv.org/abs/1204.5098v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

to appear in Phys. Lett. A

Scientific paper

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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