2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114331A proof of existence of stationary dark soliton solutions of the cubic-quintic nonlinear Schrödinger equation with a periodic potential is given. It is based on the interpretation of the dark soliton as a heteroclinic on the Poincaré map.10 pagesPattern Formation and SolitonsOther Condensed MatterChaotic DynamicsOn existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potentialtext