2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/22607We analyze the Floquet-Bloch matter-wave spectrum of Bose-Einstein condensates loaded into single-periodic optical lattices and double-periodic superlattices. In the framework of the Gross-Pitaevskii equation, we describe the structure and analyze the mobility properties of dark matter-wave solitons residing on the background of extended nonlinear Bloch-type states. We demonstrate that interaction between dark solitons can be effectively controlled in optical superlattices.15 pages, 7 figures, submitted to J. Opt. B; Topical Issue: Optical SolitonsCondensed Mattertext