Averaging For Solitons With Nonlinearity Management

D. E. Pelinovsky; P. G. Kevrekidis; D. J. Frantzeskakis

doi:10.1103/physrevlett.91.240201

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arXiv · cond-mat/0312056

Averaging For Solitons With Nonlinearity Management

D. E. Pelinovsky·P. G. Kevrekidis·D. J. Frantzeskakis

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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.

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D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis. 2003-12-02. Averaging For Solitons With Nonlinearity Management. https://doi.org/10.1103/physrevlett.91.240201

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