Gray solitons in parity-time-symmetric localized potentials with fractional-order diffraction

The properties of existence and stability of gray solitons in parity-time (PT)-symmetric localized potentials with fractional-order diffraction are studied. This system can support stable gray solitons. The influences of the Levy index and the real and imaginary parts of the complex potentials on existence, stability, and grayness of these solitons are carefully investigated. Especially, if some coefficients of PT-symmetric potentials in nonlinear fractional Schrodinger equation are changed, the transition between gray soliton and anti-dark soliton will occur. In addition, we also discuss the transverse energy flow in the gray and anti-dark solitons with fractional-order diffraction. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This study focuses on the existence and stability properties of gray solitons in parity-time (PT)-symmetric localized potentials with fractional-order diffraction. It is found that the Levy index and the real and imaginary parts of the complex potentials have significant influences on the solitons. Changing coefficients of PT-symmetric potentials in the nonlinear fractional Schrodinger equation can lead to a transition between gray solitons and anti-dark solitons. Additionally, the transverse energy flow in gray and anti-dark solitons with fractional-order diffraction is also discussed.