Vortex solitons in defocusing media with spatially inhomogeneous nonlinearity
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.
- Publication:
-
Physical Review E
- Pub Date:
- May 2012
- DOI:
- 10.1103/PhysRevE.85.056603
- Bibcode:
- 2012PhRvE..85e6603T
- Keywords:
-
- 05.45.Yv;
- 42.65.Tg;
- 03.75.Lm;
- Solitons;
- Optical solitons;
- nonlinear guided waves;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations