Theocharis, GFrantzeskakis, DJKevrekidis, PGMalomed, BAKivshar, YS2024-04-262024-04-262003-01https://hdl.handle.net/20.500.14394/34984This is the pre-published version harvested from arXiv. The published version is located at http://prl.aps.org/abstract/PRL/v90/i12/e120403We 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.Physical Sciences and Mathematicsarticle