Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates.
We study nonlinear modulation of collective excitations in disk-shaped Bose-Einstein condensates with a repulsive interatomic interaction. Using a method of multiple scales we show that the nonlinear evolution of a wave packet, formed by the superposition of short-wavelength excitations, and a long-wavelength mean field, generated by the self-interaction of the wave packet, are governed by Davey-Stewartson (DS) equations. Consequently, two-dimensional soliton (dromion) solutions can develop and propagate. We further derive a set of DS equations with variable coefficients for the situation where a slowly varying trapping potential in transverse directions has been taken into consideration. Finally, the dromion solutions and their stability are investigated by numerical simulations.
Huang
Guoxiang
G
Electron and Optical Physics Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
Deng
L
L
Hang
Chao
C