Resonant nonlinearity management for nonlinear Schrödinger solitons

A model based on the nonlinear Schrödinger (NLS) equation which describes a attractive Bose-Einstein condensate (BEC) in a quasi-1D trap, was presented. The model described the nonlinearity management in a periodically inhomogeneous optical waveguides. The response of a fundamantal soliton in the form of temporal beating of its amplitude to the weak ac perturbation was resonant when the driving frequency ω was close to the soliton's intrinsic frequency. Analysis shows that a slightly stronger drive give rise to splitting of the 2- and 3-solitons into sets of two or three moving fundamental solitons.