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

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

2004-09-28

arxiv.org/abs/nlin/0409060v2

Phys. Rev. E 71 (2005) 016611 (1-6); reprinted in Virtual J. Ultrafast Sci. v 4 Issue 2 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 6 ps figures, New figure 4 added, Physical Review E

Scientific paper

10.1103/PhysRevE.71.016611

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.

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