Averaging For Solitons With Nonlinearity Management
arXiv:cond-mat/0312056 · doi:10.1103/PhysRevLett.91.240201
Abstract
We develop an averaging method for solitons of the nonlinear Schr{ö}dinger equation with periodically varying nonlinearity coefficient. This method is used to effectively describe solitons in Bose-Einstein condensates, in the context of the recently proposed and experimentally realizable 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.
6 pages, 5 figures, in press
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- Nonlinearity Management in Higher Dimensions
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