Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates

Published

September 30, 2005

Author(s)

G X. Huang, Lu Deng, C Hang

Abstract

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.

Citation

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

72

Issue

3

Pub Type

Journals

Download Paper

https://doi.org/10.1103/PhysRevE.72.036621

Local Download

Citation

Huang, G. , Deng, L. and Hang, C. (2005), Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), [online], https://doi.org/10.1103/PhysRevE.72.036621, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=101559 (Accessed October 26, 2025)