[1] Berry M V, Balazs N L. Nonspreading wave packets[J]. American Journal of Physics, 47, 264-267(1979).

[2] Siviloglou G A, Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters, 32, 979-981(2007).

[3] Siviloglou G A, Broky J, Dogariu A et al. Ballistic dynamics of Airy beams[J]. Optics Letters, 33, 207-209(2008).

[4] Bandres M A, Rodríguez-Lara B M. Nondiffracting accelerating waves: weber waves and parabolic momentum[J]. New Journal of Physics, 15, 013054(2013).

[5] Broky J, Siviloglou G A, Dogariu A et al. Self-healing properties of optical Airy beams[J]. Optics Express, 16, 12880-12891(2008).

[6] Bandres M A, Gutiérrez-Vega J C. Airy-Gauss beams and their transformation by paraxial optical systems[J]. Optics Express, 15, 16719-16728(2007).

[7] Deng D, Li H. Propagation properties of Airy-Gaussian beams[J]. Applied Physics B, 106, 677-681(2012).

[8] Li P F, Malomed B A, Mihalache D. Symmetry breaking of spatial Kerr solitons in fractional dimension[J]. Chaos, Solitons & Fractals, 132, 109602(2020).

[9] Zeng L W, Malomed B A, Mihalache D et al. Bubbles and W-shaped solitons in Kerr media with fractional diffraction[J]. Nonlinear Dynamics, 104, 4253-4264(2021).

[10] Xiao Y, Zhang J, Wang P X. Periodic evolution of Airy-Gaussian beams under linear potential[J]. Chinese Journal of Lasers, 48, 0105002(2021).

[11] Chen W J, Song D, Li Y et al. Control on interaction of Airy-Gaussian beams in competing nonlinear medium[J]. Acta Physica Sinica, 68, 094206(2019).

[12] Chen C D, Chen B, Peng X et al. Propagation of Airy-Gaussian beam in Kerr medium[J]. Journal of Optics, 17, 035504(2015).

[13] Bai X Q, Wang Y H, Zhang J et al. Soliton shedding from Airy-Gaussian beams in photorefractive media[J]. Chinese Journal of Lasers, 46, 0805001(2019).

[14] Liu Y J, Wu L C, Xu C J et al. Propagation and Wigner distribution of the Airy-Gauss beam through an apertured paraxial optical system[J]. Optics Communications, 454, 124494(2020).

[15] El-Ganainy R, Makris K G, Christodoulides D N et al. Theory of coupled optical PT-symmetric structures[J]. Optics Letters, 32, 2632-2634(2007).

[16] Musslimani Z H, Makris K G, El-Ganainy R et al. Optical solitons in PT periodic potentials[J]. Physical Review Letters, 100, 030402(2008).

[17] Huang C F, Zeng J L. Solitons stabilization in PT symmetric potentials through modulation the shape of imaginary component[J]. Optics & Laser Technology, 88, 104-110(2017).

[18] Chen R H, Hong W Y. Dynamics of Airy beams in parity-time symmetric optical lattices[J]. Chinese Physics B, 28, 054202(2019).

[19] Yao G, Chew K H, Wu Y et al. Propagation dynamics of vector vortex beams in a strongly nonlocal nonlinear medium with parity-time-symmetric potentials[J]. Journal of Optics, 24, 035606(2022).

[20] Dang T T, Wang J F. Control of Gaussian optical waves in Gaussian parity-time symmetric waveguide[J]. Acta Optica Sinica, 40, 0319001(2020).

[21] Cheng K, Lu G, Zhu B Y et al. Polarization changes of partially-coherent Airy-Gaussian beams in a slanted turbulent atmosphere[J]. Chinese Optics, 14, 409-417(2021).

[22] Wang H, Ren X P, Huang J et al. Evolution of vortex and quadrupole solitons in the complex potentials with saturable nonlinearity[J]. Journal of Optics, 20, 125504(2018).

[23] Qiu Y L, Malomed B A, Mihalache D et al. Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential[J]. Chaos, Solitons & Fractals, 140, 110222(2020).