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We investigate the interaction between acoustic and optical signals in Bragg gratings. Using the multiple-scale method, we convert the optoacoustic coupled mode equations into a standard nonlinear Schrdinger equation. Thus, we obtain approximate solutions of the optoacoustic coupled mode equations, such as the single-soliton solutions and multiple-soliton solutions. Furthermore, we discuss the properties of slowing light of optoacoustic solitons and the interaction of two-soliton solutions.
[1] Kashyap R 1999 Fiber Bragg Gratings (San Diego:Academic Press) p10
[2] [3] Eggleton B J, Slusher R E, Sterke C M D 1996 Phys. Rev. Lett. 76 1627
[4] Taverner D, Broderick N G R, Richardson D J 1998 Opt. Lett. 23 328
[5] [6] Chen W, Mills D L 1987 Phys. Rev. Lett. 58 160
[7] [8] Sterke C M D, Sipe J E 1994 Gap Solitons (Amsterdam: Elsevier) p204
[9] [10] [11] Winful H G, Raman V P 2000 Phys. Rev. Lett. 84 3586
[12] William C K M, Malomed B A, Chu P L 2003 Phys. Rev. E 68 026609
[13] [14] [15] Mok J T, Sterke C M D, Littler I C M 2006 Nat. Phys. 2 775
[16] [17] Tian J F, Wu Z M, Xia G Q 2006 Acta Phys. Sin. 55 6419 (in Chinese) [田剑锋、吴正茂、夏光琼 2006 55 6419]
[18] [19] Tian J F, Wu Z M, Xia G Q 2007 Acta Phys. Sin. 56 2256 (in Chinese) [田剑锋、吴正茂、夏光琼 2007 56 2256]
[20] [21] Kazantseva E V, Maimistov A I 2009 Phys. Rev. A 79 033812
[22] Kalithasan B, Porsezian K, Senthilnathan K 2010 Phys. Rev. A 81 053802
[23] [24] Zhao C, Ju L, Fan Y 2008 Phys. Rev. A 78 023807
[25] [26] [27] Fermann M E, Silva V D, Smith D A 1993 Opt. Lett. 18 1505
[28] Verluise F, Laude V 2000 Opt. Lett. 25 575
[29] [30] Buckland E, Boyd R W 1997 Opt. Lett. 22 676
[31] [32] [33] Buckland E, Boyd R W 1996 Opt. Lett. 21 1117
[34] [35] Gao J S, Zhang N 2009 Acta Phys. Sin. 58 8607 (in Chinese) [高剑森、张 宁 2009 58 8607]
[36] [37] Zhou K Y, Ye H, Zhen H Y, Yin Y, Shen W D 2010 Acta Phys. Sin. 59 365 (in Chinese) [周可余、叶 辉、甄红宇、尹伊、沈伟东 2010 59 365]
[38] Tasgal R S, Band Y B 2007 Phys. Rev. Lett. 98 243902
[39] [40] Sterke C M D, Sipe J E 1990 Phys. Rev. A 42 550
[41] [42] Sterke C M D, Sipe J E 1988 Phys. Rev. A 38 5149
[43] [44] Cheng X P, Ye L J, Lin J 2007 Commun. Theor. Phys. 48 227
[45] [46] [47] Ruan H Y, Chen Y X, Lou S Y 2001 Commun. Theor. Phys. 35 641
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[1] Kashyap R 1999 Fiber Bragg Gratings (San Diego:Academic Press) p10
[2] [3] Eggleton B J, Slusher R E, Sterke C M D 1996 Phys. Rev. Lett. 76 1627
[4] Taverner D, Broderick N G R, Richardson D J 1998 Opt. Lett. 23 328
[5] [6] Chen W, Mills D L 1987 Phys. Rev. Lett. 58 160
[7] [8] Sterke C M D, Sipe J E 1994 Gap Solitons (Amsterdam: Elsevier) p204
[9] [10] [11] Winful H G, Raman V P 2000 Phys. Rev. Lett. 84 3586
[12] William C K M, Malomed B A, Chu P L 2003 Phys. Rev. E 68 026609
[13] [14] [15] Mok J T, Sterke C M D, Littler I C M 2006 Nat. Phys. 2 775
[16] [17] Tian J F, Wu Z M, Xia G Q 2006 Acta Phys. Sin. 55 6419 (in Chinese) [田剑锋、吴正茂、夏光琼 2006 55 6419]
[18] [19] Tian J F, Wu Z M, Xia G Q 2007 Acta Phys. Sin. 56 2256 (in Chinese) [田剑锋、吴正茂、夏光琼 2007 56 2256]
[20] [21] Kazantseva E V, Maimistov A I 2009 Phys. Rev. A 79 033812
[22] Kalithasan B, Porsezian K, Senthilnathan K 2010 Phys. Rev. A 81 053802
[23] [24] Zhao C, Ju L, Fan Y 2008 Phys. Rev. A 78 023807
[25] [26] [27] Fermann M E, Silva V D, Smith D A 1993 Opt. Lett. 18 1505
[28] Verluise F, Laude V 2000 Opt. Lett. 25 575
[29] [30] Buckland E, Boyd R W 1997 Opt. Lett. 22 676
[31] [32] [33] Buckland E, Boyd R W 1996 Opt. Lett. 21 1117
[34] [35] Gao J S, Zhang N 2009 Acta Phys. Sin. 58 8607 (in Chinese) [高剑森、张 宁 2009 58 8607]
[36] [37] Zhou K Y, Ye H, Zhen H Y, Yin Y, Shen W D 2010 Acta Phys. Sin. 59 365 (in Chinese) [周可余、叶 辉、甄红宇、尹伊、沈伟东 2010 59 365]
[38] Tasgal R S, Band Y B 2007 Phys. Rev. Lett. 98 243902
[39] [40] Sterke C M D, Sipe J E 1990 Phys. Rev. A 42 550
[41] [42] Sterke C M D, Sipe J E 1988 Phys. Rev. A 38 5149
[43] [44] Cheng X P, Ye L J, Lin J 2007 Commun. Theor. Phys. 48 227
[45] [46] [47] Ruan H Y, Chen Y X, Lou S Y 2001 Commun. Theor. Phys. 35 641
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