2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77235A series of systems of nonlinear equations with affine Weyl group symmetry of type $A^{(1)}_l$ is studied. This series gives a generalization of Painlevé equations $P_{IV}$ and $P_{V}$ to higher orders.amslatex, 16 pagesQuantum AlgebraMathematical Physicstext