Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-08-26
Nonlinear Sciences
Pattern Formation and Solitons
accepted for publication in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.78.033603
We present exact numerical solutions in the form of spatially localized three-dimensional (3D) nonrotating and rotating (azimuthon) multipole solitons in the Bose-Einstein condensate (BEC) confined by a parabolic trap. We numerically show that the 3D azimuthon solutions exist as a continuous family parametrized by the angular velocity (or, equivalently, the modulational depth). By a linear stability analysis we show that 3D azimuthons with a sufficiently large phase modulational depth can be stable. The results are confirmed by direct numerical simulations of the Gross-Pitaevskii equation.
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