[1] [1] Berry M V, Balazs N L. Nonspreading wave packets[J]. Am J Phys, 1998, 47(3): 264-267.

[2] [2] Bandres M A, Rodriguezlara B M. Nondiffracting accelerating waves: weber waves and parabolic momentum[J]. New J Phys, 2013, 15: 013054.

[3] [3] Aleahmad P, Miri M A, Mills M S, et al. Christodoulides, fully vectorial accelerating diffraction-free helmholtz beams[J]. Phys Rev Lett, 2012, 109(20): 203902.

[4] [4] Ellenbogen T, Voloch-Bloch N, Ganany-Padowicz A, et al. Nonlinear generation and manipulation of Airy beams[J]. Nat Photonics, 2009, 3(7): 395-398.

[5] [5] Khilo N A, Belyi V N, Kazak N S, et al. Acoustooptic refraction- influenced generation of tunable incomplete Airy beams[J]. J Opt, 2014, 16(8): 085702.

[6] [6] Polynkin P, Kolesik M, Moloney J V, et al. Curved plasma channel generation using ultraintense Airy beams[J]. Science, 2009, 324(5924): 229-232.

[7] [7] Baumgartl J, Mazilu M, Dholakia K. Optically mediated particle clearing using Airy wavepackets[J]. Nat photonics, 2008, 2(11): 675-678.

[8] [8] Abdollahpour D, Suntsov S, Papazoglou D G, et al. Spatiotemporal Airy light bullets in the linear and nonlinear regimes[J]. Phys Rev Lett, 2010, 105(25): 253901.

[9] [9] Chen C, Yang H M, Kavehrad M, et al. Propagation of radial Airy array beams through atmospheric turbulence[J]. Optics & Lasers in Engineering, 2014, 52: 106-114.

[10] [10] Cai W Y, Mills M S, Christodoulides D N, et al. Soliton manipulation using Airy pulses[J]. Opt Commun, 2014, 316: 127-131.

[11] [11] Cai W Y, Wang L, Wen S C. Evolution of airy pulses in the present of third order dispersion[J]. Optik, 2013, 124(22): 5833-5836.

[12] [12] Wang S F, Fan D F, Bai X K, et al. Propagation dynamics of airy pulses in optical fibers with periodic dispersion modulation[J]. Phys Rev A, 2014, 89(3): 023802.

[13] [13] Zhang L F, Liu K, Zhong H Z, et al. Effect of initial frequency chirp on Airy pulse propagation in an optical fiber[J]. Opt Express, 2015, 23(3): 2566-2576.

[14] [14] Qin Xulei, Li Xuejian, Chen Weijun, et al. Formation and control of Airy soliton in Kerr media[J]. Chinese Journal of Luminescence, 2016, 37(10): 1281-1286. (in Chinese)

[15] [15] Zhang L F, Zhong H Z. Modulation instability of finite energy Airy pulse in optical fiber[J]. Opt Express, 2014, 22(14): 17107-17115.

[16] [16] Ament C, Polynkin P, Moloney J V. Supercontinuum generation with femtosecond self-healing Airy pulses[J]. Phys Rev Lett, 2011, 107(24): 243901.

[17] [17] Yu Wenlong, Zhang Lifu, Tan Chao, et al. Small-scale self-focusing of finite energy Airy beam[J]. Acta Photonica Sinica, 2014, 43(5): 0519001. (in Chinese)

[18] [18] Hu Y, Tehranchi A, Wabnitz S, et al. Improved intrapulse raman scattering control via asymmetric Airy pulses[J]. Phys Rev Lett, 2015, 114(7): 073901.

[19] [19] Cai W Y, Mills M S, Christodoulides D N, et al. Soliton manipulation using Airy pulses[J]. Opt Commun, 2014, 316: 127-131.

[20] [20] Shi X H, Tan C, Bai Y F, et al. Dressed dyanmics of two time-reversed shapes of Airy pulses in a relaxing nonlinear medium[J]. J Opt Soc Am B, 2015, 32(9): 1816-1823.

[21] [21] Zhu K Z, Jia W G, Qian C, et al. Dispersion effects on the interaction of Airy beams and dark solitons[J]. Journal of Modern Optics, 2016, 64: 1-6.

[22] [22] Zhu Kunzhan, Jia Weiguo, Zhang Kui, et al. Research on the interaction of Airy pulse and soliton in the anomalous dispersion region[J]. Acta Phys Sin, 2016, 65(2): 024208. (in Chinese)

[23] [23] Chen C D, Chen B, Peng X, et al. Propagation of Airy-Gaussian beam in Kerr medium [J]. Journal of Optics, 2015, 17(3): 035504.

[24] [24] Peng Y L, Peng X, Chen B, et al. Interaction of Airy–Gaussian beams in kerr media[J]. Optics Communications, 2016, 359(15): 116-122.

[25] [25] Zhou M L, Peng Y L, Chen C D, et al. Interaction of Airy-Gaussian beams in saturable media[J]. Chinese Phys B, 2016, 25(8): 084102.

[26] [26] Zhou M L, Chen C D, Chen B, et al. Propagation of an Airy-Gaussian beam in uniaxial crystals[J]. Chinese Phys B, 2016, 24(12): 124102.

[27] [27] Lu Keqing, Hu Kai, Chen Weijun, et al. Interactions of two Airy beams in Kerr and saturable nonlinear media[J]. Journal of Tianjin Polytechnic University, 2014, 34(4): 80-84. (in Chinese)

[28] [28] Zhang Xiaping. Bound states of breathing Airy-Gaussian beams in nonlocal nonlinear medium[J]. Optics Communications, 2016, 367(15): 364-371.

[29] [29] Wen B, Deng Y B, Shi X H, et al. Evolution of finite-energy Airy pulse interaction with high-power soliton pulse in optical fiber with higher-order effects[J]. Optik, 2018, 152: 61-68.