Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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

Published

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

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 June 19, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created September 29, 2005, Updated October 12, 2021