[1] Efremidis N K, Chen Z G, Segev M et al. Airy beams and accelerating waves: an overview of recent advances[J]. Optica, 6, 686-701(2019).

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

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

[4] Siviloglou G A, Broky J, Dogariu A et al. Observation of accelerating Airy beams[J]. Physical Review Letters, 99, 213901(2007).

[5] Abdollahpour D, Suntsov S, Papazoglou D G et al. Spatiotemporal Airy light bullets in the linear and nonlinear regimes[J]. Physical Review Letters, 105, 253901(2010).

[6] Zhong W P, Belic M, Zhang Y. Three-dimensional localized Airy-Laguerre-Gaussian wave packets in free space[J]. Optics Express, 23, 23867-23876(2015).

[7] Zhang X P. Characteristics of Airy complex variable Gaussian beams propagating in free space[J]. Optik, 126, 442-445(2015).

[8] Zhang X P. Bound states of breathing Airy-Gaussian beams in nonlocal nonlinear medium[J]. Optics Communications, 367, 364-371(2016).

[9] Zhang X P. Interaction between spatiotemporal collinear self-decelerating Airy elegant-Laguerre-Gaussian wave packets in free space[J]. Acta Physica Sinica, 69, 20191272(2020).

[10] Zhang X P. Controllable accelerating and decelerating Airy-elegant-Laguerre-Gaussian wave packets in free space[J]. Optical engineering, 56, 055102(2017).

[11] Zhang X P. Self-decelerating Airy-Elegant-Laguerre-Gaussian wave packets in free space[J]. Journal of Modern Optics, 64, 2035-2042(2017).

[12] Snyder A W, Mitchell D J. Accessible solitons[J]. Science, 276, 1538-1541(1997).

[13] Zhang X P, Liu Y W. Analytical solution in the Ince-Gaussian form of the beam propagating in the strong nonlocal media[J]. Acta Physica Sinica, 58, 8332-8338(2009).

[14] Conti C, Peccianti M, Assanto G. Route to nonlocality and observation of accessible solitons[J]. Physical Review Letters, 91, 073901(2003).

[15] Siviloglou G A, Broky J, Dogariu A et al. Observation of accelerating airy beams[J]. Physical Review Letters, 99, 213901(2007).

[16] Guo Q, Luo B, Yi F et al. Large phase shift of nonlocal optical spatial solitons[J]. Physical Review E, 69, 016602(2004).

[17] Han H, Yan Y M, Shou Q. Perturbation method for solving vortex spatial optical solitons in lead glass[J]. Acta Optica Sinica, 39, 0519001(2019).

[18] Peng X, Zhuang J, Peng Y et al. Spatiotemporal Airy Ince-Gaussian wave packets in strongly nonlocal nonlinear media[J]. Scientific Reports, 8, 4174(2018).

[19] Kong Q, Wei N, Fan C et al. Suppression of collapse for two-dimensional Airy beam in nonlocal nonlinear media[J]. Scientific Reports, 7, 4198(2017).

[20] Deng D M, Guo Q. Ince-Gaussian solitons in strongly nonlocal nonlinear media[J]. Optics Letters, 32, 3206-3208(2007).

[21] Guo Q, Luo B R, Yi F H et al. Large phase shift of nonlocal optical spatial solitons[J]. Physical Review E, 69, 016602(2004).

[22] Zhang X P. Conversion of the high-mode solitons in strongly nonlocal nonlinear media[J]. Journal of Modern Optics, 64, 170-176(2017).

[23] Peng X, Zhuang J, Peng Y et al. Spatiotemporal Airy Ince-Gaussian wave packets in strongly nonlocal nonlinear media[J]. Scientific Reports, 8, 4174(2018).

[24] Zhang Y Q, Belic M R, Sun J et al. Controllable acceleration and deceleration of airy beams via initialvelocity[J]. Romanian Reports in Physics, 67, 1099-1107(2015).

[25] Arscott F M. Periodic differential equations: an introduction to Mathieu, Lamlé and allied functions[M]. Amsterdam: Elsevier, 137-160(1964).

[26] Bandres M A. Gutiérrez-Vega J C. Ince-Gaussian beams[J]. Optics Letters, 29, 144-146(2004).

[27] Schwarz U T, Bandres M A. Gutiérrez-Vega J C. Observation of Ince-Gaussian modes in stable resonators[J]. Optics Letters, 29, 1870-1872(2004).

[28] Bandres M A. Gutiérrez-Vega J C. Ince-Gaussian series representation of the two-dimensional fractional Fourier transform[J]. Optics Letters, 30, 540-542(2005).

[29] Allen L, Padgett M J, Babiker M. The orbital angular momentum of light[M]. ∥Progress in optics. Amsterdam: Elsevier, 291-372(1999).

[30] Zhang X P. Three-dimensional short-range interactions of strongly nonlocal optical spatial solitons[J]. Acta Physica Sinica, 60, 034211(2011).