Averaging for Solitons with Nonlinearity Management
Dmitry E. PelinovskyDepartment of Mathematics, McMaster University, Hamilton, Ontario, Canada L8S 4K1P. G. KevrekidisDepartment of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USAD. J. FrantzeskakisDepartment of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
2003en
ABI
Abstract
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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