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Phase-shift control can effectively avoid soliton interactions. With symbolic computation and Hirota's bilinear method, analytic studies are made on nonlinear Schrdinger equation, which can be used to describe the propagation of solitons in dispersion decreasing fibers. Analytic two-soliton solutions are obtained. With the obtained solutions, when the variable group-velocity dispersion function of dispersion decreasing fibers is a Gaussian one, the phase-shift control is achieved, soliton interactions are avoided, and the pulse quality in optical communication systems can be improved. Moreover, influences of parameters in dispersion decreasing fibers on the phase-shift control are discussed. Results are also helpful for the logic gates and optical switches.
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Keywords:
- phase-shift control /
- dispersion decreasing fibers /
- nonlinear Schr /
- dinger equation /
- solitons
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[47] Hirota R 1971 Phys. Rev. Lett. bf 27 1192
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[1] Agrawal G P 2007 Nonlinear Fiber Optics (San Diego: Academic Press)
[2] [3] Kivshar Y S, Agrawal G 2003 Optical solitons: From fibers to photonic crystals (San Diego: Academic Press)
[4] [5] [6] Mollenauer L, Gordon J P 2006 Solitons in optical fibers (Burlington: Academic Press)
[7] [8] Belashov V Y, Vladimirov S V 2005 Solitary waves in dispersive complex media (Berlin: Springer)
[9] [10] Li Z J, Hai W H, Deng Y 2013 Chin. Phys. B 22 090505
[11] [12] Chen Z G, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401
[13] [14] Tang B, Li D J, Tang Y 2014 Chaos 24 023113
[15] Wang W B, Yang H, Tang P H, Han F 2013 Acta Phys. Sin. 62 184202 (in Chinese) [王威彬, 杨华, 唐平华, 韩芳 2013 62 184202]
[16] [17] Anderson D, Lisak M 1986 Opt. Lett. 11 174
[18] [19] Kanna T, Lakshmanan M 2002 Eur. Phys. J. B 29 249
[20] [21] [22] Peng P, Li G Q, Xue J K 2007 Phys. Lett. A 365 458
[23] Li S C, Wu L H, Lin M M, Duan W S 2007 Chin. Phys. Lett. 24 2312
[24] [25] [26] Guo Q, Luo B R, Yi F H, Chi S, Xie Y Q 2004 Phys. Rev. E 69 016602
[27] Shou Q, Zhang X, Hu W, Guo Q 2011 Opt. Lett. 36 4194
[28] [29] [30] Wang Q, Wang X H, Xie Y M, Luo X L, Li D B 2012 Laser Optoelectron. Prog. 49 021901
[31] [32] Zheng H J, Wu C Q, Wang Z, Yu H S, Liu S L, Li X 2012 Optik 123 818
[33] Zolotovskii I O, Novikov S G, Okhotnikov O G, Sementsov D I, Yavtushenko I O, Yavtushenko M S 2012 Opt. Spectrosc 112 893
[34] [35] Zhukov A V, Zolotovskii I O, Okhotnikov O G, Sementsov D I, Sysolyatin A A, Yavtushenko I O 2012 Opt. Spectrosc 113 75
[36] [37] [38] Liu W J, Lei M 2013 J. Electromagnet. Wave. 27 884
[39] [40] Liu W J, Tian B, Zhang H Q, Xu T, Li H 2009 Phys. Rev. A 79 063810
[41] Liu W J, Tian B, Zhang H Q, Li L L, Xue Y S 2008 Phys. Rev. E 77 066605
[42] [43] Liu W J, Tian B, Zhang H Q 2008 Phys. Rev. E 78 066613
[44] [45] [46] Liu W J, Tian B Xu T, Sun K, Jiang Y 2010 Ann. Phys. 325 1633
[47] Hirota R 1971 Phys. Rev. Lett. bf 27 1192
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