2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228034We study the Drinfeld-Sokolov hierarchies of type A_n^{(1)} associated with the regular conjugacy classes of W(A_n). A class of fourth order Painleve systems is derived from them by similarity reductions.25 pagesMathematical PhysicsRepresentation Theory34M55; 17B80; 37K10text