[1] [1] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Observation of Accelerating Airy Beams[J]. Phys Rev Lett, 2007, 99(21): 213901. DOI: 10.1364/AO.52.001481.

[2] [2] SIVILOGLOU G A, CHRISTODOULIDES D N. Accelerating finite energy Airy beams[J]. Opt Lett, 2007, 32(8): 979-981. DOI: 10.1364/OL.32.000979.

[3] [3] ZHANG L, ZHANG J, XIAO Y. Numerical Study of the Effects of Higher-order Effects on Soliton and Airy Pulse Propagation in Optical Fiber System[J]. Journal of Quantum Optics, 2017, 2017, 23(2): 151-159. (in Chinese). DOI: 10.3788/JQO20172302.0008．

[4] [4] DURNIN J. Exact solutions for nondiffracting beams. I. The scalar theory[J]. J Opt Soc Am A, 1987, 4(4): 651-654. DOI: 10.1364/JOSAA.4.000651.

[5] [5] Durnin J, Miceli J J, Eberly J H. Diffraction-free beams[J]. Phys Rev Lett, 1987, 58(15): 1499-1501. DOI: 10.1103/PhysRevLett.58.1499.

[6] [6] BROKY J, SIVILOGLOU G A, DOGARIU A, et al. Self-healing properties of optical Airy beams[J]. Opt Express, 2008, 16(17): 12880-12891. DOI: 10.1364/OE.16.012880.

[7] [7] EFREMIDIS N, CHEN Z, SEGEV M, et al. Airy beams and accelerating waves: an overview of recent advances[J]. Optica, 2019, 6(5): 686-701. DOI: 10.1364/OPTICA.6.000686.

[8] [8] JIANG J J, DENG D M. Propagation Dynamics of Autofocusing Circular Bessel Gaussian Vortex Beams in Free Space[J]. Journal of Liaocheng University, 2021, 34(5): 15-20. (in Chinese). DOI: 10.19728/j.issn1672-6634.2021.05.003.

[9] [9] PEARCEY T. The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic[J]. Phil Mag Sci, 1946, 37(268): 311-317. DOI: 10.1080/14786444608561335.

[10] [10] RING J D, LINDBERG J, MOURKA A, et al. Auto-focusing and self-healing of Pearcey beams[J]. Opt Express, 2012, 20(17): 12880-12891. DOI: 10.1364/OE.20.018955.

[11] [11] CHEN X, DENG D, ZHUANG J, et al. Focusing properties of circle Pearcey beams[J]. Opt Lett, 2018, 43(15): 3626-3629. DOI: 10.1364/OL.43.003626.

[12] [12] CHEN X, DENG D, ZHUANG J, et al. Nonparaxial propagation of abruptly autofocusing circular Pearcey Gaussian beams[J]. Applied Optics, 2018, 57(28): 8418-8423. DOI: 10.1364/AO.57.008418.

[13] [13] ZHANG L, DENG D, YANG X, et al. Effects of the modulated vortex and second-order chirp on the propagation dynamics of ring Pearcey Gaussian beams[J]. Opt Lett, 2019, 44(19): 4654-4657. DOI: 10.1364/OL.44.004654.

[14] [14] XIN L, LI Z, MONFARED Y E, et al. Flexible autofocusing properties of ring Pearcey beams by means of a cross phase[J]. Opt Lett, 2021, 46(1): 70-73. DOI: 10.1364/OL.413380.

[15] [15] ZHANG L, CHEN X, DENG D, et al. Dynamics of breathers-like circular Pearcey Gaussian waves in a Kerr medium[J]. Opt Express, 2019, 27(13): 17482-17492. DOI: 10.1364/OE.27.017482.

[16] [16] ZHANG L, DENG D, YANG X, et al. Abruptly autofocusing chirped ring Pearcey Gaussian vortex beams with caustics state in the nonlinear medium[J]. Opt Express, 2020, 28(1): 425-434. DOI: 10.1364/OE.28.000425.

[17] [17] ZENG Z, DENG D. Paraxial propagation of Pearcey Gaussian beams with the astigmatic phase in the chiral medium[J]. Journal of the Optical Society of America B, 2020, 37(1): 30-37. DOI: 10.1364/JOSAB.37.000030.

[18] [18] SUN C, DENG D, YANG X, et al. Propagation dynamics of autofocusing circle Pearcey Gaussian vortex beams in a harmonic potential[J]. Opt Express, 2020, 28(1): 325-333. DOI: 10.1364/OE.28.000325.

[19] [19] LIN Z, XU C, HUANG H, et al. Accelerating trajectory manipulation of symmetric Pearcey Gaussian beam in a uniformly moving parabolic potential[J]. Opt Express, 2021, 29(11): 16270-16283. DOI: 10.1364/OE.424489.

[20] [20] KOVALEV A A, KOTLYAR V V, ZASKANOV S G, et al. Half Pearcey laser beams[J]. J Opt, 2015, 17(3): 035604. DOI: 10.1088/2040-8978/17/3/035604.

[21] [21] REN Z, FAN C, SHI Y, et al. Symmetric form-invariant dual Pearcey beams[J]. Journal of the Optical Society of America A, 2016, 33(8): 1523-1530. DOI: 10.1364/JOSAA.33.001523.

[22] [22] WU Y, ZHAO J, LIN Z, et al. Symmetric Pearcey Gaussian beams[J]. Opt Lett, 2021, 46(10): 2461-2464. DOI: 10.1364/OL.425889.

[23] [23] ZANG F, WANG, Y, LI L. Dual self-accelerating properties of one-dimensional finite energy Pearcey beam[J]. Results in Physics, 2019, 15: 102656. DOI: 10.1016/j.rinp.2019.102656.

[24] [24] LI Y, PENG Y, HONG W. Propagation of the Pearcey pulse with a linear chirp[J]. Results in Physics, 2020, 16: 102932. DOI: 10.1016/j.rinp.2020.102932.

[25] [25] ZANG F, LIU L, DENG F, et al. Dual-focusing behavior of a one-dimensional quadratically chirped Pearcey-Gaussian beam[J]. Opt Express, 2021, 29(16): 26048-26057. DOI: 10.1364/OE.435518.