2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122787A discrete version of the inverse scattering method proposed by Ablowitz and Ladik is generalized to study an integrable full-discretization (discrete time and discrete space) of the coupled nonlinear Schrödinger equations. The generalization enables one to solve the initial-value problem. Soliton solutions and conserved quantities of the full-discrete system are constructed.9 pages, LaTeX209 file, to appear in Proceedings of the XXXI Symposium on Mathematical Physics (Torun, Poland, May 1999), special issue of Reports on Mathematical PhysicsExactly Solvable and Integrable Systemstext