Averaging For Solitons With Nonlinearity Management
Condensed Matter
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0312056,
title = {Averaging For Solitons With Nonlinearity Management},
author = {D. E. Pelinovsky and P. G. Kevrekidis and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:cond-mat/0312056},
year = {2009}
}
Comments
6 pages, 5 figures, in press