Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2002-06-07
Nonlinear Sciences
Pattern Formation and Solitons
latex text, 10 ps and 2 jpg figures; Physical Review E, in press
Scientific paper
10.1103/PhysRevE.66.016613
We show that the quadratic interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-defocusing cubic nonlinearity, give rise to completely localized spatiotemporal solitons (vortex tori) with vorticity s=1. There is no threshold necessary for the existence of these solitons. They are found to be stable against small perturbations if their energy exceeds a certain critical value, so that the stability domain occupies about 10% of the existence region of the solitons. We also demonstrate that the s=1 solitons are stable against very strong perturbations initially added to them. However, on the contrary to spatial vortex solitons in the same model, the spatiotemporal solitons with s=2 are never stable.
Buryak Alexander V.
Crasovan Lucian-Cornel
Lederer Falk
Malomed Boris A.
Mazilu Dan
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