[1] [1] Anton S Desyatnikov, Yuri S Kivshar, Lluis Torner. Optical vortices and vortex solitons [J]. Progress in Optics, 2005, 47: 291-351.

[2] [2] W J Firth, D V Skryabin. Optical solitons carrying orbital angular momentum [J]. Phys Rev Lett, 1997, 79(13): 2450-2453.

[3] [3] M Quiroga Teixeiro, H Michinel. Stable azimuthal stationary state in quintic nonlinear optical media [J]. J Opt Soc Am B, 1997, 14(8): 2004-2009.

[4] [4] Dragomir N Neshev, Tristram J Alexander, Elena A Ostrovskaya, et al.. Observation of discrete vortex solitons in optically induced photonic lattices [J]. Phys Rev Lett, 2004, 92(12): 123903.

[5] [5] Jason W Fleischer, Guy Bartal, Oren Cohen, et al.. Observation of vortex-ring “discrete” solitons in 2D photonic lattices [J]. Physl Rev Lett, 2004, 92(12): 123904.

[6] [6] Zhang Xiaping. Rotating vortex solitons due to the Gouy phase in strongly nonlocal media [J]. Acta Optica Sinica, 2012, 32(9): 0919001.

[7] [7] Zhang Jiefang, Zhao Bi, Hu Wencheng, et al.. Interaction propagation of optical vortex solitons in inhomogeneous nonlinear waveguides [J]. Acta Optica Sinica, 2013, 33(4): 0419001.

[8] [8] Xu Yin, Zhang Hua. Solutions and stability of ultraviolet localized optical vortex solitons in air [J]. Acta Optica Sinica, 2012, 32(6): 0619003.

[9] [9] Valery E Lobanov, Yaroslav V Kartashov, Victor A Vysloukh, et al.. Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain [J]. Opt Lett, 2011, 36(1): 85-87.

[10] [10] Olga V Borovkova, Valery E Lobanov, Yaroslav V Kartashov, et al.. Rotating vortex solitons supported by localized gain [J]. Opt Lett, 2011, 36(10): 1936-1938.

[11] [11] Yaroslav V Kartashov, Vladimir V Konotop, Victor A Vysloukh, et al.. Vortex lattice solitons supported by localized gain [J]. Opt Lett, 2010, 35(19): 3177-3179.

[12] [12] Nikos K Efremidis, Suzanne Sears, Demetrios N Christodoulides. Discrete solitons in photorefractive induced photonic lattices [J]. Physical Review E, 2002, 66(4): 046602.

[13] [13] Bernd Terhalle, Dennis Gries, Tobias Richter, et al.. Anisotroy-controlled topological stability of discrete vortex solitons in optically induced photonic lattices [J]. Opt Lett, 2010, 35(4): 604-606.

[14] [14] Jiangbo Zheng, Liangwei Dong. Multipeaked fundamental and vortex solitons in azimuthally modulated Bessel lattices [J]. J Opt Soc Am B, 2011, 28(4): 780-786.

[15] [15] Yaroslav V Kartashov, Albert Ferrando, Alexey A Egorov, et al.. Soliton topology versus discrete symmetry in optical lattices [J]. Phys Rev Lett, 2005, 95(12): 123902.

[16] [16] D Mihalache, D Mazilu, F Lederer, et al.. Stable spatiotemporal solitons in Bessel optical lattices [J]. Phys Rev Lett, 2005, 95(2): 023902.

[17] [17] Xiaosheng Wang, Zhigang Chen. Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices [J]. Phys Rev Lett, 2006, 96(8): 083904.