Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity

R. Driben, N. Dror, B.A. Malomed, T. Meier, New Journal of Physics 17 (2015).

Journal Article | Published | English
Author
Driben, Rodislav; Dror, Nir; Malomed, Boris A; Meier, TorstenLibreCat
Abstract
We predict a variety of composite quiescent and spinning two- and three-dimensional (2D and 3D) self-trapped modes in media with a repulsive nonlinearity whose local strength grows from center to periphery. These are 2D dipoles and quadrupoles, and 3D octupoles, as well as vortex–antivortex pairs and quadruplets. Unlike other multidimensional models, where such complex bound states either do not exist or are subject to strong instabilities, these modes are remarkably robust in the present setting. The results are obtained by means of numerical methods and analytically, using the Thomas–Fermi approximation. The predicted states may be realized in optical and matter-wave media with controllable cubic nonlinearities
Publishing Year
Journal Title
New Journal of Physics
Volume
17
Article Number
083043
ISSN
Financial disclosure
Article Processing Charge funded by the Deutsche Forschungsgemeinschaft.
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Cite this

Driben R, Dror N, Malomed BA, Meier T. Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/8/083043
Driben, R., Dror, N., Malomed, B. A., & Meier, T. (2015). Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity. New Journal of Physics, 17, Article 083043. https://doi.org/10.1088/1367-2630/17/8/083043
@article{Driben_Dror_Malomed_Meier_2015, title={Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity}, volume={17}, DOI={10.1088/1367-2630/17/8/083043}, number={083043}, journal={New Journal of Physics}, author={Driben, Rodislav and Dror, Nir and Malomed, Boris A and Meier, Torsten}, year={2015} }
Driben, Rodislav, Nir Dror, Boris A Malomed, and Torsten Meier. “Multipoles and Vortex Multiplets in Multidimensional Media with Inhomogeneous Defocusing Nonlinearity.” New Journal of Physics 17 (2015). https://doi.org/10.1088/1367-2630/17/8/083043.
R. Driben, N. Dror, B. A. Malomed, and T. Meier, “Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity,” New Journal of Physics, vol. 17, Art. no. 083043, 2015, doi: 10.1088/1367-2630/17/8/083043.
Driben, Rodislav, et al. “Multipoles and Vortex Multiplets in Multidimensional Media with Inhomogeneous Defocusing Nonlinearity.” New Journal of Physics, vol. 17, 083043, 2015, doi:10.1088/1367-2630/17/8/083043.
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