Solitons supported by parity-time-symmetric optical lattices with saturable nonlinearity in fractional Schrödinger equation

Abstract

We report on the existence and the stability of spatial solitons supported by one-dimensional (1D) parity-time (PT)-symmetric optical lattices with self-focusing saturable nonlinearity in the fractional Schrödinger equation. These spatial optical solitons are found to exist in the semi-infinite gap and are stable in several continuous regions. In addition, the effects of the Lévy index and the saturation parameter on soliton stability are also studied. Our results demonstrate that the system described here can produce unique properties for soliton stability and propagation. We also perform a stability analysis for these solitons and the analysis results are confirmed by the soliton propagations.

Keywords

• Nonlinear fractional Schrödinger equation
• PT-symmetric optical lattices
• Spatial optical solitons
• Saturable nonlinear media