Averaging For Solitons With Nonlinearity Management
D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis
TL;DR
This paper introduces an averaging technique for solitons in the nonlinear Schrödinger equation with periodically varying nonlinearity, enabling effective analysis of Bose-Einstein condensates under Feshbach resonance management.
Contribution
The paper develops a novel averaging method for solitons with time-dependent nonlinearity, applicable to Bose-Einstein condensates and Feshbach resonance management.
Findings
The averaged equation accurately describes soliton dynamics.
Good agreement between averaged and full equations solutions.
Applicable to bright and dark matter-wave solitons.
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.
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