Averaging For Solitons With Nonlinearity Management

Details Averaging For Solitons With Nonlinearity Management Averaging For Solitons With Nonlinearity Management

2003-12-02

arxiv.org/abs/cond-mat/0312056v1

Physics

Condensed Matter

6 pages, 5 figures, in press

Scientific paper

10.1103/PhysRevLett.91.240201

We develop an averaging method for solitons of the nonlinear Schr{\"o}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.

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