D.E. Pelinovsky, P.G. Kevrekidis and D.J. Frantzeskakis

Averaging For Solitons With Nonlinearity Management

Phys. Rev. Lett. 91, 240201 (2003)

Abstract:
We develop an averaging method for solitons of the nonlinear Schrodinger equation with periodic variations of the 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.

Keywords:
NONLINEARITY MANAGEMENT, NONLINEAR SCHRODINGER EQUATIONS, AVERAGING METHOD, BOSE-EINSTEIN CONDENSATES, BRIGHT AND DARK SOLITONS