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Journal
2014 | 12 | 11 | 767-772
Article title

Rogue waves in Lugiato-Lefever equation with variable coefficients

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EN
Abstracts
EN
In this paper, we theoretically investigate the generation of optical rogue waves from a Lugiato-Lefever equation with variable coefficients by using the nonlinear Schrödinger equation-based constructive method. Exact explicit rogue-wave solutions of the Lugiato-Lefever equation with constant dispersion, detuning and dissipation are derived and presented. The bright rogue wave, intermediate rogue wave and the dark rogue wave are obtained by changing the value of one parameter in the exact explicit solutions corresponding to the external pump power of a continuous-wave laser.
Publisher

Journal
Year
Volume
12
Issue
11
Pages
767-772
Physical description
Dates
published
1 - 11 - 2014
online
17 - 8 - 2014
Contributors
author
  • School of Geology and Mining Engineering of University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon
author
  • Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
References
  • [1] C. Kharif, E. Pelinovsky, Eur. J. Mech. B 22, 603 (2003) http://dx.doi.org/10.1016/j.euromechflu.2003.09.002[Crossref]
  • [2] C. Kharif, E. Pelinovsky, A. Slunyaev, Rogue Waves in the Ocean, (Springer, NY, 2009)
  • [3] K. Dysthe, H.E. Krogstad, P. Muller, Annu. Rev. Fluid Mech. 40, 287 (2008) http://dx.doi.org/10.1146/annurev.fluid.40.111406.102203[Crossref]
  • [4] N. Akhmediev, E. Pelinovsky, Eur. Phys. J. Special Topics 185, 1 (2010) http://dx.doi.org/10.1140/epjst/e2010-01233-0[Crossref]
  • [5] V. Ruban et al., Eur. Phys. J. Special Topics 185, 5 (2010) http://dx.doi.org/10.1140/epjst/e2010-01234-y[Crossref]
  • [6] P. K. Shukla, I. Kourakis, B. Eliasson, M. Marklund, L. Steno, Phys. Rev. Lett. 97, 094501 (2006) http://dx.doi.org/10.1103/PhysRevLett.97.094501[Crossref]
  • [7] N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, Phys. Rev. E 80, 026601 (2009) http://dx.doi.org/10.1103/PhysRevE.80.026601[Crossref]
  • [8] N. Akhmediev, J. M. Soto-Crespo, A. Ankiewicz, Phys. Rev. A 80, 043818 (2009) http://dx.doi.org/10.1103/PhysRevA.80.043818[Crossref]
  • [9] N. Akhmediev, A. Ankiewicz, M. Taki, Phys. Lett. A 373, 675 (2009) http://dx.doi.org/10.1016/j.physleta.2008.12.036[Crossref]
  • [10] D.R. Solli, C. Ropers, P. Koonath, B. Jalali, Nature (London) 450, 1054 (2007) http://dx.doi.org/10.1038/nature06402[Crossref]
  • [11] D.R. Solli, C. Ropers, B. Jalali, Phys. Rev. Lett. 101, 233902 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.233902[Crossref]
  • [12] B. Kibler et al., Nature Phys. 6, 1 (2010) http://dx.doi.org/10.1038/nphys1740[Crossref]
  • [13] W.M. Moslem, P.K. Shulkla, B. Eliasson, Europhys. Lett. 96, 25002 (2008) http://dx.doi.org/10.1209/0295-5075/96/25002[Crossref]
  • [14] Y.V. Bludov, V.V. Konotop, N. Akhmediev, Phys. Rev. A 80, 033610 (2009) http://dx.doi.org/10.1103/PhysRevA.80.033610[Crossref]
  • [15] L. Stenflo, M. Marklund, J. Plasma Phys. 76, 293 (2010) http://dx.doi.org/10.1017/S0022377809990481[Crossref]
  • [16] A.N. Ganshin, V.B. Efimov, G.V. Kolmakov, L.P. Mezhov-Deglin, P.V.E. McClintock, Phys. Rev. Lett. 101, 065303 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.065303[Crossref]
  • [17] M. Shats, H. Punzmann, H. Xia, Phys. Rev. Lett. 104, 104503 (2010) http://dx.doi.org/10.1103/PhysRevLett.104.104503[Crossref]
  • [18] Z.Y. Yan, Phys. Lett. A 375, 4274 (2011). http://dx.doi.org/10.1016/j.physleta.2011.09.026[Crossref]
  • [19] J. Dudley, G. Genty, B. Eggelton, Opt. Express 16, 3644 (2008) http://dx.doi.org/10.1364/OE.16.003644[Crossref]
  • [20] A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, M. Taki, Opt. Express 17, 17010 (2010) http://dx.doi.org/10.1364/OE.17.017010[Crossref]
  • [21] M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, M. Douay, Phys. Lett. A 374, 691 (2010) http://dx.doi.org/10.1016/j.physleta.2009.11.058[Crossref]
  • [22] A. Ankiewicz, J.M. Soto-Crespo, N. Akhmediev, Phys. Rev. E 81, 046602 (2010) http://dx.doi.org/10.1103/PhysRevE.81.046602[Crossref]
  • [23] Y.C. Ma, Stud. Appl. Math. 60, 43 (1979)
  • [24] D.H. Peregrine, J. Aust. Math. Soc. Ser. B, Appl. Math. 25, 16 (1983) http://dx.doi.org/10.1017/S0334270000003891[Crossref]
  • [25] M. Erkintalo et al., Phys. Rev. Lett. 107, 253901 (2011) http://dx.doi.org/10.1103/PhysRevLett.107.253901[Crossref]
  • [26] B. Kibler, K. Hammani, C. Michel, Ch. Finot, A. Picozzi, Phys. Lett. A 375, 3149 (2011) http://dx.doi.org/10.1016/j.physleta.2011.07.006[Crossref]
  • [27] J.W. Miles, J. Fluid Mech. 79, 171 (1977) http://dx.doi.org/10.1017/S0022112077000093[Crossref]
  • [28] Z.Y. Yan, Phys. Lett. A 374, 672 (2010) http://dx.doi.org/10.1016/j.physleta.2009.11.030[Crossref]
  • [29] A. Ankiewicz, N. Devine, N. Akhmediev, Phys. Lett. A 373, 3997 (2009) http://dx.doi.org/10.1016/j.physleta.2009.08.053[Crossref]
  • [30] Z.Y. Yan, V.V. Konotop, N. Akhmediev, Phys. Rev. E 82, 036610 (2010) http://dx.doi.org/10.1103/PhysRevE.82.036610[Crossref]
  • [31] Z.Y. Yan, J. Math. Anal. Appl. 380, 689 (2011) http://dx.doi.org/10.1016/j.jmaa.2011.01.071[Crossref]
  • [32] M. Tlidi, A. Mussot, E. Louvergneaux, G. Kozyreff, A. G. Vladimirov, M. Taki, Opt. Lett. 32, 662 (2007) http://dx.doi.org/10.1364/OL.32.000662[Crossref]
  • [33] M. Tlidi, L. Gelens, Opt. Lett. 35, 306, (2010) http://dx.doi.org/10.1364/OL.35.000306[Crossref]
  • [34] A. Coillet et al., IEEE Photonics Journal 5, 6100409 (2013) http://dx.doi.org/10.1109/JPHOT.2013.2277882[Crossref]
  • [35] C. Elphick, G. Iooss, E. Tirapegui, Phys. Lett. A 120, 459 (1987) http://dx.doi.org/10.1016/0375-9601(87)90110-1[Crossref]
  • [36] L.A. Lugiato, R. Lefever, Phys. Rev. Lett. 58, 2209 (1987) http://dx.doi.org/10.1103/PhysRevLett.58.2209[Crossref]
  • [37] C.Q. Dai, J.F. Zhang, Nonlinear Dyn. 73, 2049 (2013) http://dx.doi.org/10.1007/s11071-013-0921-9[Crossref]
  • [38] H.J Jiang, J.J. Xiang, C.Q. Dai, Y.Y. Wang, Nonlinear Dyn. 75, 201 (2014) http://dx.doi.org/10.1007/s11071-013-1058-6[Crossref]
  • [39] A. Ankiewicz, N. Devine, N. Akhmediev, Phys. Lett. A 373, 3997 (2009) http://dx.doi.org/10.1016/j.physleta.2009.08.053[Crossref]
  • [40] A. Coillet, J. Dudley, G. Genty, L. Larger, Y.K. Chembo, Phys. Rev. A 89, 013835 (2014) http://dx.doi.org/10.1103/PhysRevA.89.013835[Crossref]
  • [41] B. Frisquet, B. Kibler, G. Millot, Phys. Rev. X 3, 041032 (2013)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0511-6
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