2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143295The aim of this paper is first to review the derivation of a model describing the propagation of an optical wave in a photorefractive medium and to present various mathematical results on this model: Cauchy problem, solitary waves.Analysis of PDEs35A05, 35A07, 35Q55, 35Q60, 78A60text