Phys. Rev. Lett. 91, 240201 (2003) [4 pages]Averaging for Solitons with Nonlinearity ManagementReceived 8 July 2003; published 8 December 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.240201
DOI:
10.1103/PhysRevLett.91.240201
PACS:
02.30.Jr, 03.75.Lm
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