Interaction between Breathers and Rogue Waves in a Nonlinear Optical Fiber
Xiang-Shu Liu1,2 , Li-Chen Zhao1,3 , Liang Duan1,3 , Peng Gao1,3 , Zhan-Ying Yang1,3** , Wen-Li Yang3,4
1 School of Physics, Northwest University, Xi'an 7100692 Faculty of Science, Qinzhou University, Qinzhou 5350003 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 7100694 Institute of Modern Physics, Northwest University, Xi'an 710069
Abstract ：We study the interaction between breather and $N$-order rogue waves in a nonlinear optical fiber. The impacts of the relative phase and the interaction distance between breathers and rogue waves are discussed in detail. Specifically, the breather can reduce the maximum hump value of high-order rogue waves greatly in the cases of nonzero relative phase or nonzero interaction distance. The characteristic of exclusion between breathers and rogue waves is described qualitatively in the situation of different interaction distances, which can be used to change the temporal-spatial distribution of rogue waves. Their interaction properties are characterized by the trajectory of localized waves' valleys and humps. It is shown that the interaction changes the dynamical evolution trajectory of rogue waves and breathers. These results provide some possible ways to control high-order rogue waves.
收稿日期: 2017-09-18
出版日期: 2018-01-23
:
05.45.Yv
(Solitons)
42.65.Tg
(Optical solitons; nonlinear guided waves)
42.81.Dp
(Propagation, scattering, and losses; solitons)
[1] Zakharov V E and Gelash A A 2013 Phys. Rev. Lett. 111 054101 [2] Solli D R, Ropers C, Koonath P and Jalali B 2007 Nature 450 1054 [3] Kibler B, Fatome J, Finot C, Millot G, Dias F, Genty G, Akhmediev N and Dudley J M 2010 Nat. Phys. 6 790 [4] Erkintalo M, Genty G and Dudley J M 2009 Opt. Lett. 34 2468 [5] Dai C Q, Chen R P, Wang Y Y and Fan Y 2017 Nonlinear Dyn. 87 1675 [6] Wang L, Zhang J H, Liu C, Li M and Qi F H 2016 Phys. Rev. E 93 062217 [7] Zhong W P, Xie R H, Beli M, Petrovi N, Chen G and Yi L 2008 Phys. Rev. A 78 023821 [8] Yang G, Wang Y, Qin Z, Malomed B A, Mihalache D and Li L 2014 Phys. Rev. E 90 062909 [9] Porsezian K and Nakkeeran K 1995 Phys. Rev. Lett. 74 2941 [10] Zakharov V and Shabat A 1974 Funct. Anal. Appl. 8 226 [11] Guo B L, Ling L M and Liu Q P 2012 Phys. Rev. E 85 026607 [12] Liu W J, Zhang Y, Pang L, Yan H, Ma G and Lei M 2016 Nonlinear Dyn. 86 1069 [13] Duan L, Yang Z Y, Liu C and Yang W L 2016 Chin. Phys. Lett. 33 010501 [14] Yan Z and Dai C 2013 J. Opt. 15 064012 [15] Liu Y K and Li B 2017 Chin. Phys. Lett. 34 010202 [16] Qian C, Rao J G, Liu Y B and He J S 2016 Chin. Phys. Lett. 33 110201 [17] Xu T, Wang D H, Li M and Liang H 2014 Phys. Scr. 89 075207 [18] Mollenauer L F, Stolen R H and Gordon J P 1980 Phys. Rev. Lett. 45 1095 [19] Solli D R, Ropers C and Jalali B 2008 Phys. Rev. Lett. 101 233902 [20] Dudley J M, Genty G and Eggleton B J 2008 Opt. Express 16 3644 [21] Van Simaeys G, Emplit P and Haelterman M 2001 Phys. Rev. Lett. 87 033902 [22] Dudley J M, Genty G, Dias F, Kibler B and Akhmediev N 2009 Opt. Express 17 21497 [23] Kibler B, Fatome J, Fnot C, Millot G, Genty G, Wetzel B, Akhmediev N, Dias F and Dudley J M 2012 Sci. Rep. 2 463 [24] Chabchoub A, Hoffmann N P and Akhmediev N 2011 Phys. Rev. Lett. 106 204502 [25] Chabchoub A, Hoffmann N P, Onorato M and Akhmediev N 2012 Phys. Rev. X 2 011015 [26] Baronio F, Degasperis A, Conforti M and Wabnitz S 2012 Phys. Rev. Lett. 109 044102 [27] Akhmediev N, Soto-Crespo J M and Ankiewicz A 2009 Phys. Rev. A 80 043818 [28] Guo B L and Ling L M 2011 Chin. Phys. Lett. 28 110202 [29] He J S, Zhang H R, Wang L H, Porsezian K and Fokas A S 2013 Phys. Rev. E 87 052914 [30] Zhao L C and Liu J 2012 J. Opt. Soc. Am. B 29 3119 [31] Liu C, Yang Z Y, Zhao L C and Yang W L 2014 Phys. Rev. A 89 055803 [32] Wang X, Li Y and Chen Y 2014 Wave Motion 51 1149 [33] Chen S and Song L Y 2013 Phys. Rev. E 87 032910 [34] Wu Z K et al 2014 Chin. Phys. Lett. 31 090502 [35] Yu W F et al 2014 Chin. Phys. Lett. 31 070203 [36] Kivshar Y S and Agrawal G 2003 Optical Solitons: From Fibers to Photonic Crystals (New York: Academic Press) [37] Jisha C P, Alberucci A, Lee R K and Assanto G 2013 Opt. Express 21 18646 [38] Belyaeva T L and Serkin V N 2012 Eur. Phys. J. D 66 153 [39] Akhmediev N and Ankiewicz A 1993 Opt. Commun. 100 186 [40] Helm J L, Cornish S L and Gardiner S A 2015 Phys. Rev. Lett. 114 134101 [41] Zhao L C, Ling L M, Yang Z Y and Liu J 2016 Nonlinear Dyn. 83 659 [42] Akhmediev N, Ankiewicz A and Taki M 2009 Phys. Lett. A 373 675 [43] Frisquet B, Kibler B and Millot G 2013 Phys. Rev. X 3 041032 [44] Kuznetsov E A 1977 Akademiia Nauk SSSR Dokl. 236 575 [45] Ma Y C 1979 Stud. Appl. Math. 60 43 [46] Akhmediev N and Korneev V I 1986 Theor. Math. Phys. 69 1089 [47] Shabat A and Zakharov V 1972 Sov. Phys. JETP 34 62 [48] Fernandez A, Fuji T, Poppe A, Fürbach A, Krausz F and Apolonski A 2004 Opt. Lett. 29 1366 [49] Ling L M and Zhao L C 2013 Phys. Rev. E 88 043201 [50] Wang L, Feng X Q and Zhao L C 2014 Opt. Commun. 329 135 [51] Kedziora D J, Ankiewicz A and Akhmediev N 2013 Phys. Rev. E 88 013207 [52] Ankiewicz A and Akhmediev N 2017 Rom. Rep. Phys. 69 104 [53] Ankiewicz A, Kedziora D J and Akhmediev N 2011 Phys. Lett. A 375 2782 [54] Kedziora D J, Ankiewicz A and Akhmediev N 2011 Phys. Rev. E 84 056611
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2018, Vol. 35 
