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Phys. Rev. Lett. 90, 120403 (2003) [4 pages]

Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates

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G. Theocharis1, D. J. Frantzeskakis1, P. G. Kevrekidis2, B. A. Malomed3, and Yuri S. Kivshar4
1Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515
3Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
4Nonlinear Physics Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia

Received 7 October 2002; published 26 March 2003

We introduce the concept of ring dark solitons in Bose-Einstein condensates. We show that relatively shallow rings are not subject to the snake instability, but a deeper ring splits into a robust ringlike cluster of vortex pairs, which performs oscillations in the radial and azimuthal directions, following the dynamics of the original ring soliton.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.120403
DOI:
10.1103/PhysRevLett.90.120403
PACS:
03.75.Lm, 05.45.Yv