2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112450In this paper we present solutions of the coupled DGLAP equations for quark and gluon singlet by applying the method of characteristics. Solutions are presented both in analytic and semi-analytic forms, compared with the exact results and the validity range obtained.22 pages, 5 figuresHigh Energy Physics - PhenomenologyAnalytic and semi-analytic solution of the coupled DGLAP equations at small x by the method of characteristicstext