Skip to main content
SpringerLink
Log in

Chirped soliton solutions of Fokas–Lenells equation with perturbation terms and the effect of spatio-temporal dispersion in the modulational instability analysis

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

In the present work, exact chirped solitons are derived from the Fokas–Lenells equation with the perturbation terms which describes the ultrashort pulse in the optical fiber. The obtained chirps could help for either pulse compression or amplification in optical fiber. We also analyzed the effect of spatio-temporal dispersion in the modulational instability. As result, the modulational instability analysis shows that the gain is increasing when the spatio-temporal dispersion coefficient decreases; besides, the region of MI gain apparition is well determined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. M. Remoissenet, Waves Called Solitons, 3rd edn. (Springer, Berlin, 1999)

    Google Scholar 

  2. K.E. Lonngren, in Solitons in Action, ed. by K.E. Lonngren, A.C. Scott (Academic Press, New York, 1978)

    Google Scholar 

  3. J.C. Gutierrez-Vega, Opt. Lett. 32, 1521 (2007)

    Google Scholar 

  4. B.A. Carreras, V.E. Lynch, G.M. Zaslavsky, Phys. Plasmas 8, 5096 (2001)

    Google Scholar 

  5. V.E. Tarasov, Phys. Plasmas 12, 082106 (2005)

    Google Scholar 

  6. J. He, S. Xu, K. Porsezian, J. Phys. Soc. Jpn. 81, 124007 (2012)

    Google Scholar 

  7. J. Lenells, A.S. Fokas, Inverse Probl. 25, 115006 (2009)

    Google Scholar 

  8. J. Lenells, J. Nonlinear Sci. 20, 709 (2010)

    Google Scholar 

  9. O.C. Wright. III, Nonlinearity 22, 2633 (2009)

    Google Scholar 

  10. J. Lenells, Stud. Appl. Math. 123, 215 (2009)

    Google Scholar 

  11. H. Triki, A.M. Wazwaz, Waves Random Complex Media 27, 587 (2017)

    Google Scholar 

  12. D. Qiu, J. He, Y. Zhang et al., Proc. R. Soc. A Math. Phys. Eng. Sci. 471, 0236 (2015)

    Google Scholar 

  13. A. Chouduri, K. Porsezian, Phys. Rev. A 88, 033808 (2013)

    Google Scholar 

  14. S. Xua, J. He, Y. Chang et al., Math. Methods Appl. Sci. 38, 1106 (2015)

    Google Scholar 

  15. L. Thourel, initiation aux techniques modernes des radars, Cepadues, collection SUPAERO, 1982, (ISBN 2854280784), p. 213 (1982)

  16. D.Y. Serge, J. Mibaile, B. Gambo, H.B. Malwe, Nonlinear Dyn. 16, 02220 (2017)

    Google Scholar 

  17. M. Justin, M.B. Hubert, G. Betchewe, S.Y. Doka, K.T. Crepin, Chaos Solitons Fractals 107, 49 (2018)

    Google Scholar 

  18. S.T. Rizvi, I.A. Afzal, K. Ali, Mod. Phys. Lett. B 33, 1950264 (2019)

    Google Scholar 

  19. H. Triki, R.T. Alqahtani, Q. Zhou, A. Biswas, Superlattices Microstruct. 111, 326 (2017)

    Google Scholar 

  20. A. Alka, A. Goyal, R. Gupta, C.N. Kumar, T.S. Raju, Phys. Rev. A 84, 063830 (2011)

    Google Scholar 

  21. V.M. Vyas, P. Patel, P.K. Panigrahi, C.N. Kumar, W. Greiner, Phys. Rev. A 78, 021803 (2008)

    Google Scholar 

  22. A. Triki, A. Biswas, D. Milovic, M. Belic, Opt. Commun. 366, 362 (2016)

    Google Scholar 

  23. C.N. Kumar, P. Durganandini, Pramana J. Phys. 53, 271 (1999)

    Google Scholar 

  24. A. Triki, K. Porsezian, Ph Grelu, J. Opt. 18, 075504 (2016)

    Google Scholar 

  25. A. Triki, K. Porsezian, A. Choudhuri, P.T. Dinda, Phys. Rev. A 93, 063810 (2016)

    Google Scholar 

  26. M. Inc, A.I. Aliyu, A. Yusuf, D. Baleanu, Superlattices Microstruct. 113, 319 (2017)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon

    Gawarai Dieu-donne, Malwe Boudoue Hubert & Gambo Betchewe

  2. Higher Teachers’ Training College of Maroua, University of Maroua, P.O. Box 55, Maroua, Cameroon

    Temwa Etienne & Gambo Betchewe

  3. Faculty of Science, Taibah University, Medina, Saudi Arabia

    Aly Seadawy

  4. Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon

    Serge Y. Doka

Authors
  1. Gawarai Dieu-donne
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Malwe Boudoue Hubert
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aly Seadawy
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Temwa Etienne
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Gambo Betchewe
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Serge Y. Doka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Malwe Boudoue Hubert.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dieu-donne, G., Hubert, M.B., Seadawy, A. et al. Chirped soliton solutions of Fokas–Lenells equation with perturbation terms and the effect of spatio-temporal dispersion in the modulational instability analysis. Eur. Phys. J. Plus 135, 212 (2020). https://doi.org/10.1140/epjp/s13360-020-00142-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-020-00142-z

Search

Navigation