Publications by the Laboratory of Theoretical Physics

Gap solitons in Bose-Einstein condensates in linear-nonlinear optical lattices, F. Kh. Abdullaev, A. A. Abdumalikov, and R. Galimzyanov, Phys. Lett. A 367, 149 (2007).   [PDF-file (339 kB)] Abstract: Properties of localized states on array of BEC confined to a potential, representing superposition of linear and nonlinear optical lattices areinvestigated. For a shallow lattice case the coupled mode system has been derived. We revealed new types of gap solitons and studied their stability. For the first time a moving soliton solution has been found. Analytical predictions are confirmed by numerical simulations of the Gross–Pitaevskii equation with jointly acting linear and nonlinear periodic potentials. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.