[1] Kivshar Y S, Agrawal G P[M]. Optical solitons: from fibers to photonic crystals(2003).

[2] Agrawal G P. Nonlinear fiber optics[M]. Berlin, Heidelberg: Springer, 195-211(2000).

[3] Agrawal G P[M]. Applications ofnonlinear fiber optics(2010).

[4] Liu S M, Guo R, Xu J J[M]. Photorefractive nonlinear optics and its applications(2004).

[5] Efremidis N K, Sears S, Christodoulides D N et al. Discrete solitons in photorefractive optically induced photonic lattices[J]. Physical Review E, 66, 046602(2002). http://www.ncbi.nlm.nih.gov/pubmed/12443344

[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, 90, 023902(2003). http://europepmc.org/abstract/MED/12570547

[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, 422, 147-150(2003). http://europepmc.org/abstract/MED/12634781

[8] Neshev D, Sukhorukov A A, Hanna B et al. Controlled generation and steering of spatial gap solitons[J]. Physical Review Letters, 93, 083905(2004). http://prola.aps.org/abstract/PRL/v93/i8/e083905

[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, 56, 3484-3490(2017). http://www.onacademic.com/detail/journal_1000040491089410_bfe4.html

[10] Yang J K, Musslimani Z H. Fundamental and vortex solitons in a two-dimensional optical lattice[J]. Optics Letters, 28, 2094-2096(2003). http://www.ncbi.nlm.nih.gov/pubmed/14587826

[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, 92, 123903(2004). http://europepmc.org/abstract/MED/15089673

[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, 21, 973-981(2004). http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=VIRT01000009000019000047000001&idtype=cvips&gifs=Yes

[13] Fleischer J W, Bartal G, Cohen O et al. Observation of vortex-ring “discrete” solitons in 2D photonic lattices[J]. Physical Review Letters, 92, 123904(2004). http://www.ncbi.nlm.nih.gov/pubmed/15089674

[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, 96, 083904(2006). http://www.ncbi.nlm.nih.gov/pubmed/16606183

[15] Kartashov Y V, Vysloukh V A, Torner L. Rotary solitons in Bessel optical lattices[J]. Physical Review Letters, 93, 093904(2004). http://www.ncbi.nlm.nih.gov/pubmed/15447104

[16] Suntsov S, Makris K G, Christodoulides D N et al. Observation of discrete surface solitons[J]. Physical Review Letters, 96, 063901(2006). http://www.ncbi.nlm.nih.gov/pubmed/16605995/

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

[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, 35, 410-416(2018). http://www.onacademic.com/detail/journal_1000040493073710_bc5d.html

[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, 25, 30349-30364(2017). http://www.onacademic.com/detail/journal_1000040493528710_aec8.html

[20] Kartashov Y V, Vysloukh V A, Torner L. Asymmetric soliton mobility in competing linear-nonlinear parity-time-symmetric lattices[J]. Optics Letters, 41, 4348-4351(2016). http://www.ncbi.nlm.nih.gov/pubmed/27628394

[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, 23, 16903-16911(2015). http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-23-13-16903

[22] Lopez-Aguayo S, Ruelas-Valdez C, Perez-Garcia B et al. Quasi-one-dimensional optical lattices for soliton manipulation[J]. Optics Letters, 39, 6545-6548(2014). http://europepmc.org/abstract/med/25490515

[23] 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, 54, 081901(2017).

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

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

[26] Xu Z Y, Kartashov Y V, Torner L. Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media[J]. Optics Letters, 30, 3171-3173(2005). http://www.opticsinfobase.org/abstract.cfm?uri=ol-30-23-3171

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

[28] Birnbaum Z, Malomed B A. Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity[J]. Physica D, 237, 3252-3262(2008). http://www.sciencedirect.com/science/article/pii/S016727890800300X

[29] Dong L W, Ye F W. Shaping solitons by lattice defects[J]. Physical Review A, 82, 053829(2010). http://adsabs.harvard.edu/abs/2010PhRvA..82e3829D

[30] Ablowitz M J, Antar N. Bakırtaş , et al. Vortex and dipole solitons in complex two-dimensional nonlinear lattices [J]. Physical Review A, 86, 033804(2012). http://adsabs.harvard.edu/abs/2012PhRvA..86c3804A

[31] He Y J, Wang H Z. 1+1)-dimensional dipole solitons supported by optical lattice[J]. Optics Express, 14, 9832-9837(2006). http://www.ncbi.nlm.nih.gov/pubmed/19529375

[32] Press W H, Teukolsky S A, Vetterling W T et al[M]. Numerical recipes in Fortran 77: the art of scientific computing, 753-764(2001).

[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, 67, 013602(2003). http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=1568479