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Using the numerical solution of the nonlinear Schroedinger equation and avariational method it is shown that (3+1)-dimensional spatiotemporal opticalsolitons can be stabilized by a rapidly oscillating dispersion coefficient in aKerr medium with cubic nonlinearity. This has immediate consequence ingenerating dispersion-managed robust optical soliton in communication as wellas possible stabilized Bose-Einstein condensates in periodic optical-latticepotential via an effective-mass formulation. We also critically compare thepresent stabilization with that obtained by a rapid sinusoidal oscillation ofthe Kerr nonlinearity parameter.Comment: 6 pages, 6 ps figures, New figure 4 added, Physical Review

physical review. e, statistical, nonlinear and soft matter physics

Stabilization of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional soliton in a Kerr medium by a rapidly oscillating dispersion coefficient

Stabilization of a(3+1)-dimensional soliton in a Kerr medium by a rapidly oscillating dispersion coefficient