Fundamental, dipole, and vortex solitons in fractional nonlinear Schrödinger equation with a parity-time-symmetric periodic potential

Experimental realisations of the fractional Schrödinger equation in the temporal domain

(2023) Shilong Liu et al.   Nature Communications

Families of gap solitons and their complexes in media with saturable nonlinearity and fractional diffraction

(2022) Liangwei Zeng et al.   NONLINEAR DYNAMICS

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

(2021) Pengfei Li et al.   OPTICS LETTERS

Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations

(2021) Yong Chen et al.   PHYSICA D-NONLINEAR PHENOMENA

Gap solitons in parity-time-symmetric lattices with fractional-order diffraction

(2020) Lei Li et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Multipole gap solitons in fractional Schrödinger equation with parity-time-symmetric optical lattices

(2020) Xing Zhu et al.   OPTICS EXPRESS

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity

(2020) Pengfei Li et al.   CHAOS SOLITONS & FRACTALS

Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities

(2020) li pf et al.   OPTICS EXPRESS

Localization and Steering of Light in One-Dimensional Parity-Time Symmetric Photonic Lattices

(2019) Xing Wei et al.   CHINESE PHYSICS LETTERS

Truncated-Bloch-wave solitons in nonlinear fractional periodic systems

(2019) Liangwei Dong et al.   ANNALS OF PHYSICS

Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials

(2019) Jianke Yang   OPTICS LETTERS

Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices

(2019) Jiaquan Xie et al.   NONLINEAR DYNAMICS

Vortex solitons in fractional systems with partially parity-time-symmetric azimuthal potentials

(2019) Liangwei Dong et al.   NONLINEAR DYNAMICS

2D Solitons in PT -Symmetric Photonic Lattices

(2019) Andre L. M. Muniz et al.   PHYSICAL REVIEW LETTERS

Double-hump solitons in fractional dimensions with a 𝒫𝒯–symmetric potential

(2018) Liangwei Dong et al.   OPTICS EXPRESS

Solitons in the fractional Schrödinger equation with parity-time-symmetric lattice potential

(2018) Xiankun Yao et al.   Photonics Research

Off-site and on-site vortex solitons in space-fractional photonic lattices

(2018) Xiankun Yao et al.   OPTICS LETTERS

Resonant mode conversions and Rabi oscillations in a fractional Schrödinger equation

(2017) Yiqi Zhang et al.   OPTICS EXPRESS

Gap solitons in the nonlinear fractional Schrödinger equation with an optical lattice

(2016) Changming Huang et al.   OPTICS LETTERS

Nonlinear waves inPT-symmetric systems

(2016) Vladimir V. Konotop et al.   REVIEWS OF MODERN PHYSICS

Three-dimensional topological solitons in PT-symmetric optical lattices

(2016) Yaroslav V. Kartashov et al.   Optica

Fractional Schrödinger equation in optics

(2015) Stefano Longhi   OPTICS LETTERS

Fractional quantum mechanics in polariton condensates with velocity-dependent mass

(2015) F. Pinsker et al.   PHYSICAL REVIEW B

Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation

(2015) Yiqi Zhang et al.   PHYSICAL REVIEW LETTERS

Stability of in-phase quadruple and vortex solitons in the parity-time-symmetric periodic potentials

(2014) Xiaoping Ren et al.   OPTICS EXPRESS

Two-dimensional multipeak gap solitons supported by parity-time-symmetric periodic potentials

(2013) Xing Zhu et al.   OPTICS LETTERS

Potential condensed-matter realization of space-fractional quantum mechanics: The one-dimensional Lévy crystal

(2013) B. A. Stickler   PHYSICAL REVIEW E

Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies

(2012) Liang Feng et al.   NATURE MATERIALS

Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point

(2012) Sean Nixon et al.   OPTICS LETTERS

Lattice solitons inPT-symmetric mixed linear-nonlinear optical lattices

(2012) Yingji He et al.   PHYSICAL REVIEW A

Stability analysis for solitons inPT-symmetric optical lattices

(2012) Sean Nixon et al.   PHYSICAL REVIEW A

Defect solitons in parity-time periodic potentials

(2011) Hang Wang et al.   OPTICS EXPRESS

Stability of solitons in parity-time-symmetric couplers

(2011) Rodislav Driben et al.   OPTICS LETTERS

Gap solitons in parity-time complex periodic optical lattices with the real part of superlattices

(2011) Xing Zhu et al.   OPTICS LETTERS

Unidirectional Invisibility Induced byPT-Symmetric Periodic Structures

(2011) Zin Lin et al.   PHYSICAL REVIEW LETTERS

Bloch Oscillations in Complex Crystals withPTSymmetry

(2009) S. Longhi   PHYSICAL REVIEW LETTERS

Observation ofPT-Symmetry Breaking in Complex Optical Potentials

(2009) A. Guo et al.   PHYSICAL REVIEW LETTERS

Optical Solitons inPTPeriodic Potentials

(2008) Z. H. Musslimani et al.   PHYSICAL REVIEW LETTERS

Beam Dynamics inPTSymmetric Optical Lattices

(2008) K. G. Makris et al.   PHYSICAL REVIEW LETTERS