Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-01-27
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in one of the components. In particular, we identify a stable symbiotic state in which a higher-dimensional bright soliton exists even in a homogeneous setting with defocusing interactions, as a result of the effective potential created by a stable vortex in the other component. The resulting vortex-bright solitary waves, which naturally generalize the recently experimentally observed dark-bright solitons, are examined both in the homogeneous medium and in the presence of parabolic and periodic external confinement and are found to be very robust.
Kevrekidis Panagiotis G.
Law Kody J. H.
Tuckerman Laurette S.
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