[1] Kivshar YS, Agrawal GP. Optical solitons: from fibers to photonic crystals[M]. Elsevier: Academic Press, 2003.

[2] Agrawal GP. Nonlinear fiber optics[M]. Berlin, Heidelberg: Springer, 2000: 195- 211.

[3] Agrawal GP. Applications ofnonlinear fiber optics[M]. Cambridge: Academic Press, 2010.

[4] 刘思敏, 郭儒, 许京军. 光折变非线性光学及其应用[M]. 北京: 科学出版社, 2004.

    Liu SM, GuoR, Xu JJ. Photorefractive nonlinear optics and its applications[M]. Beijing: Science Press, 2004.

[5] Efremidis N K, Sears S, Christodoulides D N, et al. Discrete solitons in photorefractive optically induced photonic lattices[J]. Physical Review E, 2002, 66(4): 046602.

[6] Fleischer J W, Carmon T, Segev M, et al. Observation of discrete solitons in optically induced real time waveguide arrays[J]. Physical Review Letters, 2003, 90(2): 023902.

[7] Fleischer J W, Segev M, Efremidis N K, et al. Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices[J]. Nature, 2003, 422(6928): 147-150.

[8] Neshev D, Sukhorukov A A, Hanna B, et al. Controlled generation and steering of spatial gap solitons[J]. Physical Review Letters, 2004, 93(8): 083905.

[9] Cao Z, Li X J, Tan Q G, et al. Trajectory variations of optical Bloch oscillations for Airy beams in transversely and longitudinally modulated photonic lattices[J]. Applied Optics, 2017, 56(12): 3484-3490.

[10] Yang J K, Musslimani Z H. Fundamental and vortex solitons in a two-dimensional optical lattice[J]. Optics Letters, 2003, 28(21): 2094-2096.

[11] Neshev D N, Alexander T J, Ostrovskaya E A, et al. Observation of discrete vortex solitons in optically induced photonic lattices[J]. Physical Review Letters, 2004, 92(12): 123903.

[12] Musslimani Z H, Yang J K. Self-trapping of light in a two-dimensional photonic lattice[J]. Journal of the Optical Society of America B, 2004, 21(5): 973-981.

[13] Fleischer J W, Bartal G, Cohen O, et al. Observation of vortex-ring “discrete” solitons in 2D photonic lattices[J]. Physical Review Letters, 2004, 92(12): 123904.

[14] Wang X S, Chen Z G, Kevrekidis P G. Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices[J]. Physical Review Letters, 2006, 96(8): 083904.

[15] Kartashov Y V, Vysloukh V A, Torner L. Rotary solitons in Bessel optical lattices[J]. Physical Review Letters, 2004, 93(9): 093904.

[16] Suntsov S, Makris K G, Christodoulides D N, et al. Observation of discrete surface solitons[J]. Physical Review Letters, 2006, 96(6): 063901.

[17] Makris K G, Suntsov S, Christodoulides D N, et al. Discrete surface solitons[J]. Optics Letters, 2005, 30(18): 2466-2468.

[18] Xu S L. Beli M R, Cai D P, et al. Vortex solitons produced in spatially modulated linear and nonlinear refractive index waveguides [J]. Journal of the Optical Society of America B, 2018, 35(2): 410-416.

[19] Xie K, Boardman A D, Li Q, et al. Spatial algebraic solitons at the Dirac point in optically induced nonlinear photonic lattices[J]. Optics Express, 2017, 25(24): 30349-30364.

[20] Kartashov Y V, Vysloukh V A, Torner L. Asymmetric soliton mobility in competing linear-nonlinear parity-time-symmetric lattices[J]. Optics Letters, 2016, 41(18): 4348-4351.

[21] Zhou K Y, Wei TT, Sun H P, et al. Soliton dynamics in a PT-symmetric optical lattice with a longitudinal potential barrier[J]. Optics Express, 2015, 23(13): 16903-16911.

[22] Lopez-Aguayo S, Ruelas-Valdez C, Perez-Garcia B, et al. Quasi-one-dimensional optical lattices for soliton manipulation[J]. Optics Letters, 2014, 39(22): 6545-6548.

[23] 李屹磊, 覃亚丽, 毛盛益, 等. 宇称-时间对称纵向势垒中光孤子的传播特性[J]. 激光与光电子学进展, 2017, 54(8): 081901.

    Li Y L, Qin Y L, Mao S Y, et al. Propagation characteristics of optical solitons in parity-time symmetric potentials with longitudinal barriers[J]. Laser & Optoelectronics Progress, 2017, 54(8): 081901.

[24] 陈顺芳, 徐四六. 二维光致异构光孤子传输特性的研究[J]. 激光与光电子学进展, 2018, 55(5): 050601.

    Chen S F, Xu S L. Transmission characteristics of two-dimensional optical soliton through photoisomerization[J]. Laser & Optoelectronics Progress, 2018, 55(5): 050601.

[25] 王阳, 张鹏, 李晓燕, 等. 海洋弱湍流条件下光孤子脉冲通信性能[J]. 中国激光, 2018, 45(5): 0506004.

    Wang Y, Zhang P, Li X Y, et al. Optical communication performance of solitonic pulses in weak oceanic turbulence[J]. Chinese Journal of Lasers, 2018, 45(5): 0506004.

[26] Xu Z Y, Kartashov Y V, Torner L. Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media[J]. Optics Letters, 2005, 30(23): 3171-3173.

[27] Kartashov Y V, Malomed B A, Kivshar Y S. Solitons in nonlinear lattices[J]. Review of Modern Physics, 2011, 83(1): 247-305.

[28] Birnbaum Z, Malomed B A. Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity[J]. Physica D, 2008, 237(24): 3252-3262.

[29] Dong L W, Ye F W. Shaping solitons by lattice defects[J]. Physical Review A, 2010, 82(5): 053829.

[30] Ablowitz M J, Antar N. Bakırtaş , et al. Vortex and dipole solitons in complex two-dimensional nonlinear lattices [J]. Physical Review A, 2012, 86(3): 033804.

[31] He Y J, Wang H Z. 1+1)-dimensional dipole solitons supported by optical lattice[J]. Optics Express, 2006, 14(21): 9832-9837.

[32] Press WH, Teukolsky SA, Vetterling WT, et al.Numerical recipes in Fortran 77: the art of scientific computing[M]. New York: Cambridge University Press, 2001: 753- 764.

[33] Louis P J Y, Ostrovskaya E A, Savage C M, et al. . Bose-Einstein condensates in optical lattices: band-gap structure and solitons[J]. Physical Review A, 2003, 67(1): 013602.