Dark Spherical Shell Solitons in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics

Wenlong Wang,1,2,* P. G. Kevrekidis,3,4,† R. Carretero-González,5,‡ and D. J. Frantzeskakis6 1Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA 2Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA 3Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA 4Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87544, USA 5Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA 6Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece (Received 9 January 2016; published 19 February 2016)