%0 Journal Article
%T A symmetry reduction technique for higher order Painlev¨¦ systems
%A H. Aratyn
%A J. F. Gomes
%A A. H. Zimerman
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.physleta.2012.04.044
%X 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 $M=2,3,...$.
%U http://arxiv.org/abs/1204.5098v1