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The interaction between dark solitons in nonlocal self-defocusing media is investigated. Numerical results show that there is a critical condition for interaction between dark solitons in nonlocal self-defocusing medium. Under the critical condition, dark solitons will neither attract nor repell each other because the attractive force and repulsive force between them are identical. Beyound the critical condition, dark solitons may attract or repell each other depending on the nonlocalization degree and distance between them. The value of the critical condition is found.
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Keywords:
- nonlocal self-defocusing /
- interaction /
- dark solitons
[1] Zheng R, Gao X H, Cao W W, Chen L X, Lu D Q, Guo Q, Wu L J, Hu W 2010 Acta Phys. Sin. 59 1063 (in Chinese) [郑 睿、 高星辉、 曹伟文、 陈利霞、 陆大全、 郭 旗、 吴立军、 胡 巍 2010 物理学报 59 1063]
[2] [3] Ouyang S G, Guo Q, Lan S,Wu L J 2007 Chin. Phys. B 16 2325
[4] Ding N, Guo Q 2009 Chin. Phys. B 18 4298
[5] [6] Yang Z J, Li S H, Lu D Q, Hu W 2010 Acta Phys. Sin. 59 4707 (in Chinese) [杨振军、 李少华、 陆大全、 胡 巍 2010 物理学报 59 4707]
[7] [8] Hu W, Zhang T, Guo Q, Xuan L, Lan S 2006 Appl. Phys. Lett. 89 071111
[9] [10] Cao J N, Guo Q 2005 Acta Phys. Sin. 54 3688 (in Chinese) [曹觉能、 郭 旗 2005 物理学报 54 3688]
[11] [12] [13] Jiang D S, Ouyang S G, She W L 2004 Acta Phys. Sin. 53 3777 (in Chinese) [江德生、 欧阳世根、 佘卫龙 2004 物理学报 53 3777]
[14] [15] Swartzlander G, Andersen D R, Regan J J, Yin H, Kaplan A E 1991 Phys. Rev. Lett. 66 1583
[16] Burger S, Bongs K, Dettmer B, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[17] [18] Proukakis N P, Parker N G, Frantzeskakis D J, Adams C S 2004 J. Opt. B 6 S380
[19] [20] Zhao W, Bourkoff E 1989 Opt. Lett. 14 1371
[21] [22] Kivshar Y S, Krolikowski W 1995 Opt. Commun. 114 353
[23] [24] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[25] [26] [27] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[28] Kartashov Y V, Torner L 2007 Opt. Lett. 32 946
[29] [30] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[31] [32] Snyder A W, Mitchell D J 1997 Science 276 1538
[33] [34] [35] Wyller J, Krolikowski W, Bang O, Rasmussen J J 2002 Phys. Rev. E 66 066615
[36] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
[37] -
[1] Zheng R, Gao X H, Cao W W, Chen L X, Lu D Q, Guo Q, Wu L J, Hu W 2010 Acta Phys. Sin. 59 1063 (in Chinese) [郑 睿、 高星辉、 曹伟文、 陈利霞、 陆大全、 郭 旗、 吴立军、 胡 巍 2010 物理学报 59 1063]
[2] [3] Ouyang S G, Guo Q, Lan S,Wu L J 2007 Chin. Phys. B 16 2325
[4] Ding N, Guo Q 2009 Chin. Phys. B 18 4298
[5] [6] Yang Z J, Li S H, Lu D Q, Hu W 2010 Acta Phys. Sin. 59 4707 (in Chinese) [杨振军、 李少华、 陆大全、 胡 巍 2010 物理学报 59 4707]
[7] [8] Hu W, Zhang T, Guo Q, Xuan L, Lan S 2006 Appl. Phys. Lett. 89 071111
[9] [10] Cao J N, Guo Q 2005 Acta Phys. Sin. 54 3688 (in Chinese) [曹觉能、 郭 旗 2005 物理学报 54 3688]
[11] [12] [13] Jiang D S, Ouyang S G, She W L 2004 Acta Phys. Sin. 53 3777 (in Chinese) [江德生、 欧阳世根、 佘卫龙 2004 物理学报 53 3777]
[14] [15] Swartzlander G, Andersen D R, Regan J J, Yin H, Kaplan A E 1991 Phys. Rev. Lett. 66 1583
[16] Burger S, Bongs K, Dettmer B, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[17] [18] Proukakis N P, Parker N G, Frantzeskakis D J, Adams C S 2004 J. Opt. B 6 S380
[19] [20] Zhao W, Bourkoff E 1989 Opt. Lett. 14 1371
[21] [22] Kivshar Y S, Krolikowski W 1995 Opt. Commun. 114 353
[23] [24] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[25] [26] [27] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[28] Kartashov Y V, Torner L 2007 Opt. Lett. 32 946
[29] [30] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[31] [32] Snyder A W, Mitchell D J 1997 Science 276 1538
[33] [34] [35] Wyller J, Krolikowski W, Bang O, Rasmussen J J 2002 Phys. Rev. E 66 066615
[36] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
[37]
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