2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57677We apply the notion of parametrized vector field on a manifold M, where the parameters are also in M, to the study of the zero-curvature condition that arises in the context of integrable systems.Mathematical Physics17B80;17B66;37K10;35Q58Parametrized vector fields and the zero-curvature conditiontext