2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80331A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a suitable potential of the differential-difference Toda system. Abundant semi-discrete localized coherent structures of the potential can be found by appropriately selecting the arbitrary functions of the semi-discrete form of the universal formula.12 pages, 6 figuresExactly Solvable and Integrable Systemstext