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