# Symmetry-breaking bifurcations and ghost states in the fractional nonlinear Schrödinger equation with a PT-symmetric potential.

@article{Li2021SymmetrybreakingBA, title={Symmetry-breaking bifurcations and ghost states in the fractional nonlinear Schr{\"o}dinger equation with a PT-symmetric potential.}, author={Pengfei Li and Boris A. Malomed and Dumitru Mihalache}, journal={Optics letters}, year={2021}, volume={46 13}, pages={ 3267-3270 } }

We report symmetry-breaking and restoring bifurcations of solitons in a fractional Schrödinger equation with cubic or cubic-quintic (CQ) nonlinearity and a parity-time-symmetric potential, which may be realized in optical cavities. Solitons are destabilized at the bifurcation point, and, in the case of CQ nonlinearity, the stability is restored by an inverse bifurcation. Two mutually conjugate branches of ghost states (GSs), with complex propagation constants, are created by the bifurcation…

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