2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127526In this paper, we propose a 3-parameter family of coupled Painlevé III systems in dimension four with affine Weyl group symmetry of type $A_5^{(2)}$. We also propose its symmetric form in which the $A_5^{(2)}$-symmetries become clearly visible.4 pages, 1 figureAlgebraic Geometry34M55; 34M45; 58F05; 32S65Symmetries in the system of type $A_5^{(2)}$text