@article{3099095, title = "Dynamics and manipulation of matter-wave solitons in optical superlattices", author = "Porter, MA and Kevrekidis, PG and Carretero-Gonzalez, R and and Frantzeskakis, DJ", journal = "MODERN PHYSICS LETTERS A", year = "2006", volume = "352", number = "3", pages = "210-215", publisher = "ELSEVIER SCIENCE BV", issn = "0217-7323", doi = "10.1016/j.physleta.2005.11.074", abstract = "We study the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) “dynamical superlattices” can be used to controllably place, guide, and manipulate these solitons. In particular, we use numerical experiments to displace solitons by turning on a secondary lattice structure, transfer solitons from one location to another by shifting one superlattice substructure relative to the other, and implement solitonic “path-following”, in which a matter wave follows the time-dependent lattice substructure into oscillatory motion. (c) 2005 Elsevier B.V. All rights reserved." }