Cuevas-Maraver, JesúsKevrekidis, Panayotis G.Karachalios, Nikolaos I.Melvin, Thomas R.O.Champneys, A. R.Eilbeck, J. Chris2016-07-042016-07-042006Cuevas-Maraver, J., Kevrekidis, P.G., Karachalios, N.I., Melvin, T.R.O., Champneys, A.R. y Eilbeck, J.C. (2006). Discrete solitons in optical BEC lattices. Effects of n-body interactions. Universidad de Sevilla. FQM280: Fisica no Lineal.Recuperado dehttp://hdl.handle.net/11441/43094In this poster we show some recent results concerning discrete solitons in strong optical lattices, which can be described by the Discrete Nonlinear Schrödinger equation. These results are related to a variation of this equation including saturable nonlinearity terms, a feature throughoutly studied in nonlinear optics. After presenting the derivation of the DNLS equation from the Gross-Pitaevskii equation in the presence of a strong optical lattice, we study the existence of thresholds in the quadratic norm of discrete solitons in the cubic DNLS, cubic-quintic DNLS and photorefractive-DNLS. The second part of the poster is devoted to moving discrete solitons in the photorefractive DNLS equation. In the one hand, we study the existence of radiationless moving discrete solitons; on the other hand, we study the collisions of moving discrete solitons.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess