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Phys Rev Lett. 2003 Dec 12;91(24):240201. Epub 2003 Dec 8.

Averaging for solitons with nonlinearity management.

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  • 1Department of Mathematics, McMaster University, Hamilton, Ontario, Canada L8S 4K1.


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.

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