2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80000We present the constraint for the discrete Moutard equation which gives the integrable discretization of the Bianchi-Ernst system. We also derive the discrete analogue of the Bianchi transformation between solutions of such a system (the Darboux-Backlund transformation in soliton terminology). We finally obtain the superposition of discrete Bianchi transformations.10 pages, uses elsart.cls styleExactly Solvable and Integrable Systemstext