  Using the numerical solution of the nonlinear Schroedinger equation and a
variational method it is shown that (3+1)-dimensional spatiotemporal optical
solitons can be stabilized by a rapidly oscillating dispersion coefficient in a
Kerr medium with cubic nonlinearity. This has immediate consequence in
generating dispersion-managed robust optical soliton in communication as well
as possible stabilized Bose-Einstein condensates in periodic optical-lattice
potential via an effective-mass formulation. We also critically compare the
present stabilization with that obtained by a rapid sinusoidal oscillation of
the Kerr nonlinearity parameter.
