PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2014 | 12 | 11 | 767-772
Tytuł artykułu

Rogue waves in Lugiato-Lefever equation with variable coefficients

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
12
Numer
11
Strony
767-772
Opis fizyczny
Daty
wydano
2014-11-01
online
2014-08-17
Twórcy
autor
  • School of Geology and Mining Engineering of University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon
autor
  • 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
Bibliografia
  • [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)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0511-6
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.