Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity

Rodislav Driben, Nir Dror, Boris A. Malomed, Torsten Meier

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

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.

Original languageEnglish
Article number083043
JournalNew Journal of Physics
Volume17
Issue number8
DOIs
StatePublished - 24 Aug 2015

Keywords

  • multipoles
  • nonlinear modes
  • solitons
  • vortices

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