A symmetry reduction technique for higher order Painlevé systems

Abstract

The symmetry reduction of higher order Painlevé 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 $A_{2M}^{(1)}$ and $A_{2M-1}^{(1)}$ Painlevé systems for $M=2,3,...$.

to appear in Phys. Lett. A

References in corpus (3)

• Bäcklund flux-quantization in a model of electrodiffusion based on Painlevé II
• Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
• Affine Weyl group approach to Painlevé equations

Cited by in corpus (2)

• A Symmetric System of Mixed Painleve III - V Equations and its Integrable Origin
• On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity