Abstract.
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.
Similar content being viewed by others
References
K.E. Strecker et al., Nature 417, 150 (2002); L. Khaykovich et al., Science 296, 1290 (2002)
S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000); B.P. Anderson et al., Phys. Rev. Lett. 86, 2926 (2001)
G. Theocharis et al., Phys. Rev. Lett. 90, 120403 (2003)
P.O. Fedichev et al., Phys. Rev. A 60, 3220 (1999)
D.L. Feder et al., Phys. Rev. A 62, 053606 (2000)
Y.S. Kivshar, Xiaoping Yang, Phys. Rev. E 50, R40 (1994)
T. Busch, J.R. Anglin, Phys. Rev. Lett. 83, 2498 (1999)
G. Huang et al., Phys. Rev. A. 65, 053605 (2002)
N.G. Parker et al., Phys. Rev. Lett. 90, 220401 (2003)
D.J. Frantzeskakis et al., Phys. Rev. A 70, 015601 (2004)
G. Huang, V.A. Makarov, M.G. Velarde, Phys. Rev. A 67, 023604 (2003)
V.M. Perez-Garcia, H. Michinel, H. Herrero, Phys. Rev. A 57, 3837 (1998)
T. Taniuti, Prog. Theor. Phys. Suppl. 55, 1 (1974)
N. Asano, Prog. Theor. Phys. Suppl. 55, 52 (1974)
R.S. Johnson, A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge University, Cambridge, U.K., 1997)
C.M. de Sterke, J.E. Sipe, in Progress in Optics, edited by E. Wolf (Elsevier Science B.V., Amsterdam, 1994), p. 203
V.I. Karpman, E.M. Maslov, Phys. Fluids 25, 1686 (1982)
K. Ko, H.H. Kuehl, Phys. Fluids 23, 834 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Xue, JK. The dynamics of ring dark soliton in inhomogeneous Bose-Einstein condensates. Eur. Phys. J. D 37, 241–245 (2006). https://doi.org/10.1140/epjd/e2005-00277-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2005-00277-3