Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates
G X. Huang, Lu Deng, C Hang
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.
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
, Deng, L.
and Hang, C.
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 December 10, 2023)