[1] C M BENDER, S BOETTCHER. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Physical Review Letters, 80, 5243-5246(1998).

[2] C M BENDER. Making sense of non-Hermitian Hamiltonians. Reports on Progress in Physics, 70, 947-1018(2007).

[3] R EI-GANAINY, K G MAKRIS, D N CHRISTODOULIDES et al. Theory of coupled optical PT-symmetric structures. Optics Letters, 32, 2632-2634(2007).

[4] C E RÜTER, K G MAKRIS, R EI-GANAINY et al. Observation of parity-time symmetry in optics. Nature Physics, 6, 192-195(2010).

[5] A GOVINDARAJAN, AK SARMA, M LAKSHMANAN. Tailoring PT-symmetric soliton switch. Optics Letters, 44, 663-666(2019).

[6] M A MIRI, P LIKAMWA, D N CHRISTODOULIDES. Large area single-mode parity-time-symmetric laser amplifiers. Optics Letters, 37, 764-766(2012).

[7] Long CHANG, Xiaoshun JIANG, Shiyue HUA et al. Parity-time symmetry and variable optical isolation in active-passive-coupled microresonators. Nature Photonics, 8, 524-529(2014).

[8] K G MAKRIS, R EI-GANAINY, D N CHRISTODOULIDES et al. Beam dynamics in PT symmetric optical lattices. Physical Review Letters, 100, 103904(2008).

[9] A REGENSBURGER, C BERSCH, M A MIRI et al. Parity-time synthetic photonic lattices. Nature, 488, 167-171(2012).

[10] Z H MUSSLIMANI, K G MAKRIS, R EL-GANAINY et al. Optical solitons in PT periodic potentials. Physical Review Letters, 100, 030402(2008).

[11] Xing ZHU, Hong WANG, Huagang LI et al. Two-dimensional multipeak gap solitons supported by parity-time-symmetric periodic potentials. Optics Letters, 38, 2723-2725(2013).

[12] Pengfei LI, Chaoqing DAI, Rujiang LI et al. Symmetric and asymmetric solitons supported by a PT-symmetric potential with saturable nonlinearity: bifurcation, stability and dynamics. Optics Express, 26, 6949-6961(2018).

[13] Sumei HU, Tingting ZHONG, Hongmei WU et al. Transmission of multipole solitons in Parity-Time symmetric Scarff potentials. Acta Photonica Sinica, 47, 0919001(2018).

[14] N LASKIN. Fractional quantum mechanics and Lévy path integrals. Physics Letters A, 268, 298-305(2000).

[15] N LASKIN. Fractional quantum mechanics. Physical Review E, 62, 3135-3145(2000).

[16] N LASKIN. Fractional Schrödinger equation. Physical Review E, 66, 056108(2002).

[17] S LONGHI. Fractional Schrödinger equation in optics. Optics Letters, 40, 1117-1120(2015).

[18] Yiqi ZHANG, Hua ZHONG, MR BELIĆ et al. PT symmetry in a fractional Schrödinger equation. Laser & Photonics Reviews, 10, 526-531(2016).

[19] Changming HUANG, Hanying DENG, Weifeng ZHANG et al. Fundamental solitons in the nonlinear fractional Schrödinger equation with a PT-symmetric potential. EPL, 122, 24002(2018).

[20] Xiankun YAO, Xueming LIU. Solitons in the fractional Schrödinger equation with parity-time-symmetric lattice potential. Photonics Research, 6, 875-879(2018).

[21] Liangwei DONG, Changming HUANG. Double-hump solitons in fractional dimensions with a PT-symmetric potential. Optics Express, 26, 10509-10518(2018).

[22] Jiaquan XIE, Xing ZHU, Yingji HE. Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices. Nonlinear Dynamics, 97, 1287-1294(2019).

[23] Xing ZHU, Feiwen YANG, Shulei CAO et al. Multipole gap solitons in fractional Schrödinger equation with parity-time-symmetric optical lattices. Optics Express, 28, 1631-1639(2020).

[24] Qihao CAO, Chaoqing DAI. Symmetric and anti-symmetric solitons of the fractional second-and third-order nonlinear Schrödinger equation. Chinese Physics Letters, 38, 090501(2021).

[25] Weiwei SU, Hanying DENG, Liangwei DONG et al. Stabilization of fundamental solitons in the nonlinear fractional Schrödinger equation with PT-symmetric nonlinear lattices. Chaos Solitons & Fractals, 141, 110427(2020).

[26] Zhongli WU, Shulei CAO, Wanwei CHE et al. Solitons supported by parity-time-symmetric optical lattices with saturable nonlinearity in fractional Schrödinger equation. Results in Physics, 19, 103381(2020).

[27] DHT TEHRANI, M SOLAIMANI, M GHALANDARI et al. Solitons propagation dynamics in a saturable PT-symmetric fractional medium. Physica Scripta, 96, 125531(2021).

[28] Wanwei CHE, Feiwen YANG, Shulei CAO et al. Gray solitons in parity-time-symmetric localized potentials with fractional-order diffraction. Physics Letters A, 413, 127606(2021).

[29] Qing WANG, Lingling ZHANG, B A MALOMED et al. Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of Lévy-index management. Chaos, Solitons and Fractals, 157, 111995(2022).

[30] Qing WANG, D MIHALACHE, M R BELIĆ et al. Soliton transformation between different potential wells. Optics Letters, 48, 747-750(2023).

[31] Jianke YANG. Nonlinear waves in integrable and nonintegrable systems(2010).

[32] Jianke YANG, T I LAKOBA. Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations. Studies in Applied Mathematics, 118, 153-197(2007).

[33] Y V KARTASHOV, L TORNER. Gray spatial solitons in nonlocal nonlinear media. Optics Letters, 32, 946-948(2007).