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Chin. Phys. B, 2012, Vol. 21(4): 040505    DOI: 10.1088/1674-1056/21/4/040505
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Bound states of spatial optical dark solitons in nonlocal media

Ou-Yang Shi-Gen,Hu Wei,Guo Qi
Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China
Abstract  It is shown that multiple dark solitons can form bound states in a series of balance distances in nonlocal bulk media. Dark solitons can either attract or repel each other depending on their separated distance. The stability of such bound states are studied numerically. There exist unstable degenerate bound states decaying in different ways and having different lifetimes.
Keywords:  nonlocal nonlinear Schrö      dinger equation      dark soliton      bound state  
Received:  09 September 2011      Revised:  16 November 2011      Published:  29 February 2012
PACS:  05.45.Yv (Solitons)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
Fund: Project supported by the National Natural Science Foundation of China(Grant No.61008007)and the Specialized Research Fund for Growing Seedlings of the Higher Education in Guangdong Province of China(Grant No.LYM10066)
Corresponding Authors:  Ou-Yang Shi-Gen,     E-mail:

Cite this article: 

Ou-Yang Shi-Gen,Hu Wei,Guo Qi Bound states of spatial optical dark solitons in nonlocal media 2012 Chin. Phys. B 21 040505

[1] Agrawal G P 2002 Nonlinear Fiber Optics and Applications of Nonlinear Fiber Optics 3rd edn. (Beijing: Publishing House of Electronics Industry) pp. 101-104 (in Chinese)
[2] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J and Christiansen P L 2004 Opt. Lett. 29 286
[3] Dreischuh A, Neshev D N, Petersen D E, Bang O and Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[4] Kartashov Y V and Torner L 2007 Opt. Lett. 32 946
[5] Zhou L, Gao X, Yang Z, Lu D, Guo Q, Cao W and Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese)
[6] Gao X, Yang Z, Zhou L, Zheng Y, Lu D and Hu W 2011 Acta Phys. Sin. 60 084213 (in Chinese)
[7] Ouyang S and Guo Q 2009 Opt. Express 17 5170
[8] Greiner W and Reinhardt J 2003 Field Quantization (Berlin: Spriner-Verlag) pp. 69-74
[9] Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z and Saffman M 1997 Phys. Rev. A 56 R1110
[10] Krolikowski W, Saffman M, Luther-Davies B and Denz C 1998 Phys. Rev. Lett. 80 3240
[11] Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev. Lett. 95 213904
[12] Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L and Cohen O 2006 Opt. Lett. 31 3312
[13] Peccianti M, Brzdkiewicz K A and Assanto G 2002 Opt. Lett. 27 1460
[14] Hu W, Zhang T, Guo Q, Xuan L and Lan S 2006 Appl. Phys. Lett. 89 071111
[15] Barashenkov I V and Harin A O 1995 Phys. Rev. D 52 2471
[16] Barashenkov I V and Harin A O 1993 Phys. Rev. Lett. 72 1575
[17] Kivshar Y S and Krolikowski W 1995 Opt. Lett. 20 1527
[18] Barashenkov I V 1996 Phy. Rev. Lett. 77 1193
[19] Pelinovsky D E, Kivshar Y S and Afanasjev V V 1996 Phys. Rev. E 54 2015
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