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We propose a unified theory, that is, similarity transformation, to construct exact optical rogue wave solution of (1+1)-dimensional nonlinear Schrödinger equation with variable coefficients. Moreover, we investigate propagation dynamics of the first-order optical rogue wave in an optical fiber amplifier. In the suitable regulation of parameters, we find that the properties of the optical rogue wave, such as width, amplitude and position, are controllable in a nonlinear medium. These results give edification in theory and practical application.
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Keywords:
- nonlinear Schrö /
- dinger equation /
- similarity transformation /
- variable coefficient
[1] Osborne A R 2009 Nonlinear Ocean Waves New York Academic Press
[2] Kharif C, Pelinovsky E, Slunyaev A 2009 Rogue Waves in the Ocean, Observation, Theories and Modeling New York Springer
[3] Muller P, Garrett Ch, Osborne A 2005 Oceanography. 18 66
[4] Tao A F, Hu G D 2008 Journal of Natural Disasters 17 01 (in Chinese) [陶爱峰, 胡国栋 2008 自然灾害学报 17 01]
[5] Akhmediev N, Ankiewicz A, Taki M 2009 Phys. Lett. A 373 675
[6] Ankiewicz A, Devine N, Akhmediev N 2009 Phys Lett. A 373 3997
[7] Li J, Chen G, Yang J M 2009 China Offshore Platform. 24 03 (in Chinese) [李俊, 陈刚, 杨建民 2009 中国海洋平台 24 03]
[8] Xie T, Nan C F, Kuang H L, Zou G H, Chen W 2009 Acta Phys. Sin. 58 4001 (in Chinese) [谢涛, 南撑峰, 旷海兰, 邹光辉, 陈伟 2009 58 4001]
[9] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Modern Phys. 71 463
[10] Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[11] Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[12] Ponomarenko S A, Agrawal G P 2008 J. Opt. Soc. Am. B 25 983
[13] Tian Q, Yang Q, Dai C Q, Zhang J F 2011 Opt. Commun. 284 2222
[14] Solli D R, Ropers C, Koonath P, Jalali B 2007 Nature 450 1054
[15] Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[16] Peregrine D H 1983 J. Australian Math. Soc. Ser. B 25 16
[17] Ohta Y and Yang J K 2012 Proc. R. Soc A 468 1716
[18] Serkin V N, Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[19] Ponomarenko S A, Agrawal G P 2007 Opt. Express 15 2963
[20] Kruglov V I, Peacock A C, Dudley J M, Harvey J D 2000 Opt. Lett. 25 1753
[21] Zhenya Yan 2012 Phys. Lett. A 374 672
[22] Moores J D 1996 Opt. Lett. 21 555
[23] Dai C Q, Zhu S Q, Wang L L, Zhang J F 2010 Europhys. Lett. 92 24005
-
[1] Osborne A R 2009 Nonlinear Ocean Waves New York Academic Press
[2] Kharif C, Pelinovsky E, Slunyaev A 2009 Rogue Waves in the Ocean, Observation, Theories and Modeling New York Springer
[3] Muller P, Garrett Ch, Osborne A 2005 Oceanography. 18 66
[4] Tao A F, Hu G D 2008 Journal of Natural Disasters 17 01 (in Chinese) [陶爱峰, 胡国栋 2008 自然灾害学报 17 01]
[5] Akhmediev N, Ankiewicz A, Taki M 2009 Phys. Lett. A 373 675
[6] Ankiewicz A, Devine N, Akhmediev N 2009 Phys Lett. A 373 3997
[7] Li J, Chen G, Yang J M 2009 China Offshore Platform. 24 03 (in Chinese) [李俊, 陈刚, 杨建民 2009 中国海洋平台 24 03]
[8] Xie T, Nan C F, Kuang H L, Zou G H, Chen W 2009 Acta Phys. Sin. 58 4001 (in Chinese) [谢涛, 南撑峰, 旷海兰, 邹光辉, 陈伟 2009 58 4001]
[9] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Modern Phys. 71 463
[10] Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[11] Liu W M, Wu B, Niu Q 2000 Phys. Rev. Lett. 84 2294
[12] Ponomarenko S A, Agrawal G P 2008 J. Opt. Soc. Am. B 25 983
[13] Tian Q, Yang Q, Dai C Q, Zhang J F 2011 Opt. Commun. 284 2222
[14] Solli D R, Ropers C, Koonath P, Jalali B 2007 Nature 450 1054
[15] Bludov Yu V, Konotop V V, Akhmedicv N 2009 Phys. Rev. A 80 033610
[16] Peregrine D H 1983 J. Australian Math. Soc. Ser. B 25 16
[17] Ohta Y and Yang J K 2012 Proc. R. Soc A 468 1716
[18] Serkin V N, Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[19] Ponomarenko S A, Agrawal G P 2007 Opt. Express 15 2963
[20] Kruglov V I, Peacock A C, Dudley J M, Harvey J D 2000 Opt. Lett. 25 1753
[21] Zhenya Yan 2012 Phys. Lett. A 374 672
[22] Moores J D 1996 Opt. Lett. 21 555
[23] Dai C Q, Zhu S Q, Wang L L, Zhang J F 2010 Europhys. Lett. 92 24005
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