Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157224We find and study a five-parameter family of four-dimensional coupled Painlevé V systems with affine Weyl group symmetry of type $D_5^{(1)}$. We then give an explicit description of a confluence from those systems to a four-parameter family of four-dimensional coupled Painlevé III systems with affine Weyl group symmetry of type $B_4^{(1)}$.19 pages, 6 figuresAlgebraic Geometry34M55; 34M45; 58F05; 32S65Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B_4^{(1)}$text