C. Huang and L. Dong, “Beam propagation management in a fractional Schrödinger equation,” Sci. Rep. 7, 5442 (2017).

[Crossref]

Y. Zhang, H. Zhong, M. R. Belić, Y. Zhu, W. Zhong, Y. Zhang, D. N. Christodoulides, and M. Xiao, “PT symmetry in a fractional Schrödinger equation,” Laser Photon. Rev. 10(3), 526–531 (2016).

[Crossref]

W.-P. Zhong, M. Belić, and Y. Zhang, “Accessible solitons of fractional dimension,” Ann. Phys. 368, 110–116 (2016).

[Crossref]

W.-P. Zhong, M. R. Belić, B. A. Malomed, Y. Zhang, and T. Huang, “Spatiotemporal accessible solitons in fractional dimensions,” Phys. Rev. E 94, 012216 (2016).

[Crossref]
[PubMed]

F. Olivar-Romero and O. Rosas-Ortiz, “Factorization of the Quantum Fractional Oscillator,” J. Phys.: Condens. Matter. 698(1), 012025 (2016).

Y. Zhang, H. Zhong, M. R. Belić, N. Ahmed, Y. Zhang, and M. Xiao, “Diffraction-free beams in fractional Schrödinger equation,” Sci. Rep. 6, 23645 (2016).

[Crossref]

S. Nixon and J. Yang, “Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides,” Opt. Lett. 41(12), 2747–2750 (2016).

[Crossref]
[PubMed]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[Crossref]

L. Zhang, C. Li, H. Zhong, C. Xu, D. Lei, Y. Li, and D. Fan, “Propagation dynamics of super-Gaussian beams in fractional Schrödinger equation: from linear to nonlinear regimes,” Opt. Express 24(13), 14406–14418 (2016).

[Crossref]
[PubMed]

C. Huang and L. Dong, “Gap solitons in the nonlinear fractional Schrödinger equation with an optical lattice,” Opt. Lett. 41(24), 5636–5639 (2016).

[Crossref]
[PubMed]

S. Longhi, “Fractional Schrödinger equation in optics,” Opt. Lett. 40(6), 1117–1120 (2015).

[Crossref]
[PubMed]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological States in Partially-𝒫𝒯-Symmetric Azimuthal Potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

Y. Zhang, X. Liu, M. R. Belić, W. Zhong, Y. Zhang, and M. Xiao, “Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation,” Phys. Rev. Lett. 115, 180403 (2015).

[Crossref]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39(19), 5641–5644 (2014).

[Crossref]
[PubMed]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “PT symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39(18), 5443–5446 (2014).

[Crossref]

J. Yang, “Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials,” Opt. Lett. 39(19), 5547–5550 (2014).

[Crossref]
[PubMed]

C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, “Nonlocal gap solitons in 𝒫𝒯-symmetric periodic potentials with defocusing nonlinearity,” Phys. Rev. A 89, 013812 (2014).

[Crossref]

J. Yang, “Partially PT symmetric optical potentials with all-real spectra and soliton families in multidimensions,” Opt. Lett. 39(5), 1133–1136 (2014).

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39, 5641–5644 (2014).

[Crossref]
[PubMed]

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photon. 5(1), 83–130 (2013).

[Crossref]

A. Kundu and B. Seradjeh, “Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors,” Phys. Rev. Lett. 111, 136402 (2013).

[Crossref]
[PubMed]

B. Guo and D. Huang, “Existence and stability of standing waves for nonlinear fractional Schrödinger equations,” J. Math. Phys. 53, 083702 (2012).

[Crossref]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[Crossref]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[Crossref]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[Crossref]

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[Crossref]

K. Zhou, Z. Guo, J. Wang, and S. Liu, “Defect modes in defective parity-time symmetric periodic complex potentials,” Opt. Lett. 35(17), 2928–2930 (2010).

[Crossref]
[PubMed]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical Solitons in PT Periodic Potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]
[PubMed]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam Dynamics in PT Symmetric Optical Lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[Crossref]
[PubMed]

C. M. Bender, D. C. Brody, and H. F. Jones, “Complex Extension of Quantum Mechanics,” Phys. Rev. Lett. 89, 270401 (2002).

[Crossref]

N. Laskin, “Fractional Schrödinger equation,” Phys. Rev. E 66, 056108 (2002).

[Crossref]

N. Laskin, “Fractional quantum mechanics and Lévy path integrals,” Phys. Lett. A 268, 298–305 (2000).

[Crossref]

N. Laskin, “Fractional quantum mechanics,” Phys. Rev. E 62, 3135–3145 (2000).

[Crossref]

C. M. Bender and S. Boettcher, “Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[Crossref]

R. B. Laughlin, “Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations,” Phys. Rev. Lett. 50, 1395–1398 (1983).

[Crossref]

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[Crossref]

Y. Zhang, H. Zhong, M. R. Belić, N. Ahmed, Y. Zhang, and M. Xiao, “Diffraction-free beams in fractional Schrödinger equation,” Sci. Rep. 6, 23645 (2016).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, “Nonlocal gap solitons in 𝒫𝒯-symmetric periodic potentials with defocusing nonlinearity,” Phys. Rev. A 89, 013812 (2014).

[Crossref]

C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, “Nonlocal gap solitons in 𝒫𝒯-symmetric periodic potentials with defocusing nonlinearity,” Phys. Rev. A 89, 013812 (2014).

[Crossref]

W.-P. Zhong, M. Belić, and Y. Zhang, “Accessible solitons of fractional dimension,” Ann. Phys. 368, 110–116 (2016).

[Crossref]

Y. Zhang, H. Zhong, M. R. Belić, Y. Zhu, W. Zhong, Y. Zhang, D. N. Christodoulides, and M. Xiao, “PT symmetry in a fractional Schrödinger equation,” Laser Photon. Rev. 10(3), 526–531 (2016).

[Crossref]

W.-P. Zhong, M. R. Belić, B. A. Malomed, Y. Zhang, and T. Huang, “Spatiotemporal accessible solitons in fractional dimensions,” Phys. Rev. E 94, 012216 (2016).

[Crossref]
[PubMed]

Y. Zhang, H. Zhong, M. R. Belić, N. Ahmed, Y. Zhang, and M. Xiao, “Diffraction-free beams in fractional Schrödinger equation,” Sci. Rep. 6, 23645 (2016).

[Crossref]

Y. Zhang, X. Liu, M. R. Belić, W. Zhong, Y. Zhang, and M. Xiao, “Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation,” Phys. Rev. Lett. 115, 180403 (2015).

[Crossref]

C. M. Bender, D. C. Brody, and H. F. Jones, “Complex Extension of Quantum Mechanics,” Phys. Rev. Lett. 89, 270401 (2002).

[Crossref]

C. M. Bender and S. Boettcher, “Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[Crossref]

C. M. Bender and S. Boettcher, “Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[Crossref]

C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, “Nonlocal gap solitons in 𝒫𝒯-symmetric periodic potentials with defocusing nonlinearity,” Phys. Rev. A 89, 013812 (2014).

[Crossref]

C. M. Bender, D. C. Brody, and H. F. Jones, “Complex Extension of Quantum Mechanics,” Phys. Rev. Lett. 89, 270401 (2002).

[Crossref]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[Crossref]

Y. Zhang, H. Zhong, M. R. Belić, Y. Zhu, W. Zhong, Y. Zhang, D. N. Christodoulides, and M. Xiao, “PT symmetry in a fractional Schrödinger equation,” Laser Photon. Rev. 10(3), 526–531 (2016).

[Crossref]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical Solitons in PT Periodic Potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]
[PubMed]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam Dynamics in PT Symmetric Optical Lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[Crossref]
[PubMed]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam Dynamics in PT Symmetric Optical Lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[Crossref]
[PubMed]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical Solitons in PT Periodic Potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]
[PubMed]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

B. Guo and D. Huang, “Existence and stability of standing waves for nonlinear fractional Schrödinger equations,” J. Math. Phys. 53, 083702 (2012).

[Crossref]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[Crossref]

C. Huang and L. Dong, “Beam propagation management in a fractional Schrödinger equation,” Sci. Rep. 7, 5442 (2017).

[Crossref]

C. Huang and L. Dong, “Gap solitons in the nonlinear fractional Schrödinger equation with an optical lattice,” Opt. Lett. 41(24), 5636–5639 (2016).

[Crossref]
[PubMed]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “PT symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39(18), 5443–5446 (2014).

[Crossref]

B. Guo and D. Huang, “Existence and stability of standing waves for nonlinear fractional Schrödinger equations,” J. Math. Phys. 53, 083702 (2012).

[Crossref]

W.-P. Zhong, M. R. Belić, B. A. Malomed, Y. Zhang, and T. Huang, “Spatiotemporal accessible solitons in fractional dimensions,” Phys. Rev. E 94, 012216 (2016).

[Crossref]
[PubMed]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[Crossref]

C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, “Nonlocal gap solitons in 𝒫𝒯-symmetric periodic potentials with defocusing nonlinearity,” Phys. Rev. A 89, 013812 (2014).

[Crossref]

C. M. Bender, D. C. Brody, and H. F. Jones, “Complex Extension of Quantum Mechanics,” Phys. Rev. Lett. 89, 270401 (2002).

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological States in Partially-𝒫𝒯-Symmetric Azimuthal Potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “PT symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39(18), 5443–5446 (2014).

[Crossref]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39(19), 5641–5644 (2014).

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39, 5641–5644 (2014).

[Crossref]
[PubMed]

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[Crossref]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological States in Partially-𝒫𝒯-Symmetric Azimuthal Potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[Crossref]

A. Kundu and B. Seradjeh, “Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors,” Phys. Rev. Lett. 111, 136402 (2013).

[Crossref]
[PubMed]

N. Laskin, “Fractional Schrödinger equation,” Phys. Rev. E 66, 056108 (2002).

[Crossref]

N. Laskin, “Fractional quantum mechanics and Lévy path integrals,” Phys. Lett. A 268, 298–305 (2000).

[Crossref]

N. Laskin, “Fractional quantum mechanics,” Phys. Rev. E 62, 3135–3145 (2000).

[Crossref]

R. B. Laughlin, “Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations,” Phys. Rev. Lett. 50, 1395–1398 (1983).

[Crossref]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[Crossref]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[Crossref]

Y. Zhang, X. Liu, M. R. Belić, W. Zhong, Y. Zhang, and M. Xiao, “Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation,” Phys. Rev. Lett. 115, 180403 (2015).

[Crossref]

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical Solitons in PT Periodic Potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]
[PubMed]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam Dynamics in PT Symmetric Optical Lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[Crossref]
[PubMed]

W.-P. Zhong, M. R. Belić, B. A. Malomed, Y. Zhang, and T. Huang, “Spatiotemporal accessible solitons in fractional dimensions,” Phys. Rev. E 94, 012216 (2016).

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39, 5641–5644 (2014).

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39(19), 5641–5644 (2014).

[Crossref]
[PubMed]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “PT symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39(18), 5443–5446 (2014).

[Crossref]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[Crossref]

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, “Beam Dynamics in PT Symmetric Optical Lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[Crossref]
[PubMed]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical Solitons in PT Periodic Potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]
[PubMed]

F. Olivar-Romero and O. Rosas-Ortiz, “Factorization of the Quantum Fractional Oscillator,” J. Phys.: Condens. Matter. 698(1), 012025 (2016).

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

F. Olivar-Romero and O. Rosas-Ortiz, “Factorization of the Quantum Fractional Oscillator,” J. Phys.: Condens. Matter. 698(1), 012025 (2016).

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

Y. Lumer, Y. Plotnik, M. Rechtsman, C. Mikael, and M. Segev, “Nonlinearly Induced PT Transition in Photonic Systems,” Phys. Rev. Lett. 111, 263901 (2013).

[Crossref]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[Crossref]

A. Kundu and B. Seradjeh, “Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors,” Phys. Rev. Lett. 111, 136402 (2013).

[Crossref]
[PubMed]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[Crossref]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological States in Partially-𝒫𝒯-Symmetric Azimuthal Potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39(19), 5641–5644 (2014).

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Unbreakable PT symmetry of solitons supported by inhomogeneous defocusing nonlinearity,” Opt. Lett. 39, 5641–5644 (2014).

[Crossref]
[PubMed]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-Symmetry Breaking in Complex Optical Potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[Crossref]
[PubMed]

Y. Zhang, H. Zhong, M. R. Belić, N. Ahmed, Y. Zhang, and M. Xiao, “Diffraction-free beams in fractional Schrödinger equation,” Sci. Rep. 6, 23645 (2016).

[Crossref]

Y. Zhang, H. Zhong, M. R. Belić, Y. Zhu, W. Zhong, Y. Zhang, D. N. Christodoulides, and M. Xiao, “PT symmetry in a fractional Schrödinger equation,” Laser Photon. Rev. 10(3), 526–531 (2016).

[Crossref]

Y. Zhang, X. Liu, M. R. Belić, W. Zhong, Y. Zhang, and M. Xiao, “Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation,” Phys. Rev. Lett. 115, 180403 (2015).

[Crossref]

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photon. 5(1), 83–130 (2013).

[Crossref]

S. Nixon and J. Yang, “Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides,” Opt. Lett. 41(12), 2747–2750 (2016).

[Crossref]
[PubMed]

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