Ring dark solitons and vortex necklaces in Bose-Einstein condensates.
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.
Theocharis
G
G
Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece.
Frantzeskakis
D J
DJ
Kevrekidis
P G
PG
Malomed
B A
BA
Kivshar
Yuri S
YS