title: Averaging for solitons with nonlinearity management.
abstract: We develop an averaging method for solitons of the nonlinear Schrödinger equation with a periodically varying nonlinearity coefficient, which is used to effectively describe solitons in Bose-Einstein condensates, in the context of the recently proposed technique of Feshbach resonance management. Using the derived local averaged equation, we study matter-wave bright and dark solitons and demonstrate a very good agreement between solutions of the averaged and full equations.
authors.affiliation: Department of Mathematics, McMaster University, Hamilton, Ontario, Canada L8S 4K1.
authors.forename: D E
authors.initials: DE
authors.lastname: Pelinovsky
authors.forename: P G
authors.initials: PG
authors.lastname: Kevrekidis
authors.forename: D J
authors.initials: DJ
authors.lastname: Frantzeskakis