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A breather soliton solution of the higher-order Hirota equation is given under the integrable condition, and the rogue solution of Hirota equation is obtained on the basis of the breather soliton solutions, which is helpful to understand the characteristics and the physical reason of rogue wave. The excitation of rogue wave is studied by a cw and periodic perturbation or a Gaussian type perturbation. As an example, by distribution Fourier method, the transmission characteristics of rogue wave is studied with considering the frequency shift and the Raman gain, and the effects of the frequency shift and Raman gain on the interaction between rogue waves are also analyzed.
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Keywords:
- Hirota equation /
- rogue wave /
- Raman gain /
- interaction
[1] Guo B L 2011 Advances in Math. 40 393 (in Chinese) [郭柏灵 2011 数学进展 40 393]
[2] Taki M, Mussot A, Kudlinski A, Louvergneaux E, Kolobov M, Douay M 2010 Phys. Lett. A 374 691
[3] Tao Y S, He J S, Porsezian K 2013 Chin. Phys. B 22 074210
[4] Ma Z Y, Ma S H 2012 Chin. Phys. B 21 030507
[5] Zhang J F, Jin M Z, He J D 2013 Chin. Phys. B 22 054208
[6] Yang G Y, Li L, Jia S T 2012 Phys. Rev. E 85 046608
[7] Sakovich S Y 1997 J. Phys. Soc. Japan 66 2527
[8] Karpman V I 2004 Eur. Phys. J. B 39 341
[9] Li S Q, Li L, Li Z H 2004 J. Opt. Soc. Am. B 21 2089
[10] Ablowitz M J, Clarkson P A 1991 Soliton Nonlinear Evolution Equations and Inverse Scattering (England: Cambridge University Press) pp34-68
[11] Zhang J F, Hu W C 2013 Chin. Opt. Lett. 11 031901
[12] Qiao H L, Jia W G, Liu B L, Wang X D, Menke N M L, Yang J, Zhang J P 2013 Acta Phys. Sin. 62 104212 (in Chinese) [乔海龙, 贾维国, 刘宝林, 王旭东, 门克内木乐, 杨军, 张俊萍 2013 62 104212]
[13] Li S Q, Li L, Li Z H 2004 Acta Photon. Sin. 33 826 (in Chinese) [李淑青, 李录, 李仲豪 2004 光子学报 33 826]
[14] Zhang J F 2013 Acta Opt. Sin. 33 0419001 (in Chinese) [张解放 2013 光学学报 33 0419001]
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[1] Guo B L 2011 Advances in Math. 40 393 (in Chinese) [郭柏灵 2011 数学进展 40 393]
[2] Taki M, Mussot A, Kudlinski A, Louvergneaux E, Kolobov M, Douay M 2010 Phys. Lett. A 374 691
[3] Tao Y S, He J S, Porsezian K 2013 Chin. Phys. B 22 074210
[4] Ma Z Y, Ma S H 2012 Chin. Phys. B 21 030507
[5] Zhang J F, Jin M Z, He J D 2013 Chin. Phys. B 22 054208
[6] Yang G Y, Li L, Jia S T 2012 Phys. Rev. E 85 046608
[7] Sakovich S Y 1997 J. Phys. Soc. Japan 66 2527
[8] Karpman V I 2004 Eur. Phys. J. B 39 341
[9] Li S Q, Li L, Li Z H 2004 J. Opt. Soc. Am. B 21 2089
[10] Ablowitz M J, Clarkson P A 1991 Soliton Nonlinear Evolution Equations and Inverse Scattering (England: Cambridge University Press) pp34-68
[11] Zhang J F, Hu W C 2013 Chin. Opt. Lett. 11 031901
[12] Qiao H L, Jia W G, Liu B L, Wang X D, Menke N M L, Yang J, Zhang J P 2013 Acta Phys. Sin. 62 104212 (in Chinese) [乔海龙, 贾维国, 刘宝林, 王旭东, 门克内木乐, 杨军, 张俊萍 2013 62 104212]
[13] Li S Q, Li L, Li Z H 2004 Acta Photon. Sin. 33 826 (in Chinese) [李淑青, 李录, 李仲豪 2004 光子学报 33 826]
[14] Zhang J F 2013 Acta Opt. Sin. 33 0419001 (in Chinese) [张解放 2013 光学学报 33 0419001]
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