Abstract
A new kind of solitons: disk-shaped two-dimensional solitons are found in the cubic-quintic complex Ginzburg-Landau model with an annular lattice potential. The main reason for the occurrence of this kind of solitons is that the viscous force arising from the dissipative system can support an input beam at the surface of the lattice potential. The regions of main parameters for these stable disk-shaped solitons are given by comprehensive simulations. In addition, the relation of the width of the generated disk-shaped solitons to the amplitude of input beam is investigated.
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N.N. Akhmediev, V.V. Afanasjev, J.M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996)
W.H. Renninger, A. Chong, F.W. Wise, Phys. Rev. A 77, 023814 (2008)
N. Akhmediev, A. Ankiewicz, Dissipative Solitons, in Lecture Notes in Physics (Springer, 2005), Vol. 661
H. Leblond, B.A. Malomed, D. Mihalache, Phys. Rev. A 80, 033835 (2009)
L.-C. Crasovan, B.A. Malomed, D. Mihalache, Phys. Rev. E 63, 016605 (2001)
L.-C. Crasovan, B.A. Malomed, D. Mihalache, Phys. Lett. A 289, 59 (2001)
D. Mihalache, D. Mazilu, F. Lederer, Y.V. Kartashov, L.-C. Crasovan, L. Torner, B.A. Malomed, Phys. Rev. Lett. 97, 073904 (2006)
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, B.A. Malomed, Phys. Rev. A 75, 033811 (2007)
D.V. Skryabin, A.G. Vladimirov, Phys. Rev. Lett. 89, 044101 (2002)
Y.J. He, B.A. Malomed, D. Mihalache, B. Liu, H.C. Huang, H. Yang, H.Z. Wang, Opt. Lett. 34, 2976 (2009)
Y.J. He, B.A. Malomed, H.Z. Wang, Opt. Express 15, 17502 (2007)
V.I. Petviashvili, A.M. Sergeev, Dokl. AN SSSR 276, 1380 (1984) [English translation: Sov. Phys. Doklady 29, 493 (1984)]
B.A. Malomed, Complex Ginzburg-Landau equation, in Encyclopedia of Nonlinear Science, edited by A. Scott (Routledge, New York, 2005), pp. 157–160
B.A. Malomed, Chaos 17, 037117 (2007)
P. Mandel, M. Tlidi, J. Opt. B: Quantum Semiclass. Opt. 6, R60 (2004)
N.N. Rosanov, S.V. Fedorov, A.N. Shatsev, Appl. Phys. B: Lasers Opt. 81, 937 (2005)
N. Akhmediev, J.M. Soto-Crespo, Ph. Grelu, Chaos 17, 037112 (2007)
J.M. Soto-Crespo, N. Akhmediev, C. Mejía-Cortés, N. Devine, Opt. Express 17, 4236 (2009)
Y.J. He, B.A. Malomed, F. Ye, B. Hu, J. Opt. Soc. Am. B 27, 1139 (2010)
Y.J. He, D. Mihalache, B.B. Hu, J. Opt. Soc. Am. B 27, 2174 (2010)
A.G. Vladimirov, D.V. Skryabin, G. Kozyreff, P. Mandel, M. Tlidi, Opt. Express 14, 1 (2006)
Y.J. He, B.A. Malomed, F. Ye, J. Dong, Z. Qiu, H.Z. Wang, B. Hu, Phys. Scr. 82, 065404 (2010)
M. Tlidi, M. Haelterman, P. Mandel, Europhys. Lett. 42, 505 (1998)
M. Tlidi, P. Mandel, Phys. Rev. Lett. 83, 4995 (1999)
M. Tlidi, J. Opt. B: Quantum Semiclass. Opt. 2, 438 (2000)
Y. He, D. Mihalache, B.A. Malomed, Y. Qiu, Z. Chen, Y. Li, Phys. Rev. E 85, 066206 (2012)
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Yin, C.P., He, Y.G. Disk-shaped two-dimensional dissipative solitons induced by sticking the beam to the top of annular-lattice potential. Eur. Phys. J. D 66, 308 (2012). https://doi.org/10.1140/epjd/e2012-30491-7
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DOI: https://doi.org/10.1140/epjd/e2012-30491-7