Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-12-25
Nonlinear Sciences
Pattern Formation and Solitons
6 pages, 6 figures, submitted to Phys. Rev. A
Scientific paper
We have performed numerical analysis of the two-dimensional (2D) soliton solutions in Bose-Einstein condensates with nonlocal dipole-dipole interactions. For the modified 2D Gross-Pitaevski equation with nonlocal and attractive local terms, we have found numerically different types of nonlinear localized structures such as fundamental solitons, radially symmetric vortices, nonrotating multisolitons (dipoles and quadrupoles), and rotating multisolitons (azimuthons). By direct numerical simulations we show that these structures can be made stable.
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