Algebraic bright and vortex solitons in self-defocusing media with spatially inhomogeneous nonlinearity
Abstract
We investigate algebraic bright and vortex solitons in self-defocusing (SDF) media with a type of spatially inhomogeneous nonlinearity. For a specific choice of the nonlinearity parameters, certain exact analytical solutions for algebraic bright and vortex solitons have been constructed. By applying the linear stability analysis, the stability regions of these algebraic solitons are obtained numerically. In addition, we show analytically that a homogeneous SDF nonlinearity superposed by a localized self-focusing nonlinearity can support exact algebraic bright solitons under certain conditions.
- Publication:
-
Physical Review A
- Pub Date:
- May 2013
- DOI:
- 10.1103/PhysRevA.87.055801
- Bibcode:
- 2013PhRvA..87e5801W
- Keywords:
-
- 42.65.Tg;
- 42.65.Jx;
- 42.65.Wi;
- 05.45.Yv;
- Optical solitons;
- nonlinear guided waves;
- Beam trapping self-focusing and defocusing;
- self-phase modulation;
- Nonlinear waveguides;
- Solitons