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Vortex solitons in defocusing media with spatially inhomogeneous nonlinearity

Qing Tian1,2, Lei Wu2, Yonghao Zhang2, and Jie-Fang Zhang1,3

  • 1School of Physics Science and Technology, Soochow University, Suzhou, Jiangsu 215006, People's Republic of China
  • 2Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow, G1 1XJ, United Kingdom
  • 3Zhejiang University of Media and Communications, Hangzhou 310018, Zhejiang, People's Republic of China

Phys. Rev. E 85, 056603 – Published 11 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.056603

Abstract

The analytical two- and three-dimensional vortex solitons with arbitrary values of vorticity are constructed in the cubic defocusing media with spatially inhomogeneous nonlinearity. The values of the nonlinearity coefficients are zero near the center and increase rapidly toward the periphery. In addition to the analytical ones, a number of vortex solitons are found numerically. It is shown that analytical vortex solitons are stable. Also, the stability region of the numerically constructed vortex solitons are given.

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