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Using variational and numerical solutions of the mean-field Gross-Pitaevskiiequation we show that a bright soliton can be stabilized in a traplessthree-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodictemporal modulation of scattering length alone by using a Feshbach resonance.This scheme also stabilizes a rotating vortex soliton in two dimensions. Apartfrom possible experimental application in BEC, the present study suggests thatthe spatiotemporal solitons of nonlinear optics in three dimensions can also bestabilized in a layered Kerr medium with sign-changing nonlinearity along thepropagation direction.Comment: 6 pages, 7 PS figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length