2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127622A higher order Painleve system of type D^{(1)}_{2n+2} was introduced by Y. Sasano. It is an extension of the sixth Painleve equation for the affine Weyl group symmetry. It is also expressed as a Hamiltonian system of order 2n with a coupled Painleve VI Hamiltonian. In this paper, we discuss a derivation of this system from a Drinfeld-Sokolov hierarchy.20 pagesMathematical PhysicsRepresentation Theory34M55; 17B80; 37K10text