The dynamics of ring dark soliton in inhomogeneous Bose-Einstein condensates
Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070, P.R. China
Revised: 21 May 2005
Published online: 18 October 2005
The dynamics of the ring dark soliton in an inhomogeneous Bose-Einstein condensates (BEC) with thin disk-shaped potential trapping is investigated analytically and numerically. Analytical result shows that the ring dark soliton is governed by a variable coefficients Korteweg-de Vries (KdV) equation. The effect of the ring curvature (nonplanar geometry) and the inhomogeneous of the background on soliton amplitude and the emitted radiation profiles are obtained analytically. The theoretical results are confirmed by the direct numerical results.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005