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Breather for weak beam induced by strong beam in a strongly nonlocal nonlinear medium is investigated. Although the nonlinearity induced by the weak beam is weak enough to be negligible, the nonlinearity induced by the strong beam can balance the diffraction of the weak beam, thus the breather for weak beam comes into being. The analytical solution of the breather for weak beam is obtained. Based on the analytical solution, the evolution of the beam width is analysed, and the form as well as the direction of helix for the trajectory of the breather is systematically investigated.
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Keywords:
- strongly nonlocal nonlinearity /
- weak beam /
- breather /
- soliton
[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605
[3] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2008 Opt. Lett. 33 198
[4] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901
[5] Zhong W P, Lin Y 2007 Phys. Rev. A 75 061801
[6] Peccianti M, Conti C, Assanto G, Luca A D, Umeton C 2002 Appl. Phys. Lett. 81 3335
[7] Lopez-Aguayo S, Desyatnikov A S, Kivshar Y S 2006 Opt. Express 14 7903
[8] Królikowski W, Bang O 2000 Phys. Rev. E 63 016610
[9] Deng D M, Guo Q 2007 Opt. Lett. 32 3206
[10] Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z, Saffman M 1997 Phys. Rev. A 56 R1110.
[11] Nikolov N I, Neshev D, Królikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[12] Lopez-Aguayo S, Gutiérrez-Vega J C 2007 Opt. Express 15 18326
[13] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[14] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[15] Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 (in Chinese) [郭旗, 张霞萍, 胡巍, 寿倩 2006 物理学报 55 1832]
[16] Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 64218
[17] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[18] Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[19] Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904
[20] Rotschild C, Segev M, Xu Z Y, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[21] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[22] Lu D Q, Hu W, Guo Q 2009 Europhys. Lett. 86 44004
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[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605
[3] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2008 Opt. Lett. 33 198
[4] Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901
[5] Zhong W P, Lin Y 2007 Phys. Rev. A 75 061801
[6] Peccianti M, Conti C, Assanto G, Luca A D, Umeton C 2002 Appl. Phys. Lett. 81 3335
[7] Lopez-Aguayo S, Desyatnikov A S, Kivshar Y S 2006 Opt. Express 14 7903
[8] Królikowski W, Bang O 2000 Phys. Rev. E 63 016610
[9] Deng D M, Guo Q 2007 Opt. Lett. 32 3206
[10] Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z, Saffman M 1997 Phys. Rev. A 56 R1110.
[11] Nikolov N I, Neshev D, Królikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[12] Lopez-Aguayo S, Gutiérrez-Vega J C 2007 Opt. Express 15 18326
[13] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[14] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[15] Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 (in Chinese) [郭旗, 张霞萍, 胡巍, 寿倩 2006 物理学报 55 1832]
[16] Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 64218
[17] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[18] Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[19] Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904
[20] Rotschild C, Segev M, Xu Z Y, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[21] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[22] Lu D Q, Hu W, Guo Q 2009 Europhys. Lett. 86 44004
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