Skip to main content
Log in

Highly dispersive optical solitons in birefringent fibers with four nonlinear forms using Kudryashov’s approach

  • Research Article
  • Published:
Journal of Optics Aims and scope Submit manuscript

Abstract

This paper exhibits bright, dark, singular as well as combo optical highly dispersive solitons in birefringent fibers. The governing model is considered with four forms of nonlinear refractive index. The existence criteria for such solitons are also listed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Biswas, J. Vega-Guzman, M.F. Mahmood, Q. Zhou, S. Khan, S.P. Moshokoa, M.R. Belic, Highly dispersive optical solitons with undetermined coefficients. Optik 182, 890–896 (2019)

    Article  ADS  Google Scholar 

  2. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with Kerr law nonlinearity by \(F\)-expansion. Optik 181, 1028–1038 (2019)

    Article  ADS  Google Scholar 

  3. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with quadratic-cubic law by \(F\)-expansion. Optik 182, 930–943 (2019)

    Article  ADS  Google Scholar 

  4. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with Kerr law nonlinearity by extended Jacobi’s elliptic function expansion. Optik 183, 395–400 (2019)

    Article  ADS  Google Scholar 

  5. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with non-local nonlinearity by extended Jacobi’s elliptic function expansion. Optik 184, 277–286 (2019)

    Article  ADS  Google Scholar 

  6. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with non-local nonlinearity by \(F\)-expansion. Optik 186, 288–292 (2019)

    Article  ADS  Google Scholar 

  7. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with cubic-quintic-septic law by \(F\)-expansion. Optik 182, 897–906 (2019)

    Article  ADS  Google Scholar 

  8. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with cubic-quintic-septic law by exp-expansion. Optik 186, 321–325 (2019)

    Article  ADS  Google Scholar 

  9. A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic, Highly dispersive optical solitons with cubic-quintic-septic law by extended Jacobi’s elliptic function expansion. Optik 183, 571–578 (2019)

    Article  ADS  Google Scholar 

  10. A. Biswas, A.H. Kara, A.S. Alshomrani, M. Ekici, Q. Zhou, M.R. Belic, Conservation laws for highly dispersive optical solitons. Optik 199, 163283 (2019)

    Article  ADS  Google Scholar 

  11. A. Biswas, A.H. Kara, Q. Zhou, A.K. Alzahrani, M.R. Belic, Conservation laws for highly dispersive optical solitons in birefringent fibers. Regul. Chaotic Dyn. 25(2), 166–177 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  12. O. Gonzalez-Gaxiola, A. Biswas, A.S. Alshomrani, Highly dispersive optical solitons having Kerr law of refractive index with Laplace-Adomian decomposition. Revista Mexicana de Fisica 66(3), 291–296 (2020)

    Article  MathSciNet  Google Scholar 

  13. O. Gonzalez-Gaxiola, A. Biswas, M. Asma, A.S. Alshomrani. Highly dispersive optical solitons with non-local law of refractive index by Laplace-Adomian decomposition. (To be submitted)

  14. R.W. Kohl, A. Biswas, M. Ekici, Q. Zhou, S. Khan, A.S. Alshomrani, M.R. Belic, Sequel to highly dispersive optical soliton perturbation with cubic-quintic-septic refractive index by semi-inverse variational principle. Optik 203, 163451 (2020)

    Article  ADS  Google Scholar 

  15. N.A. Kudryashov, Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Appl. Math. Comput. 371, 124972 (2020)

    MathSciNet  MATH  Google Scholar 

  16. N.A. Kudryashov, Solitary wave solutions of hierarchy with non-local nonlinearity. Appl. Math. Lett. 103, 106155 (2020)

    Article  MathSciNet  Google Scholar 

  17. N.A. Kudryashov, Method for finding highly dispersive optical solitons of nonlinear differential equations. Optik 206, 163550 (2020)

    Article  ADS  Google Scholar 

  18. N.A. Kudryashov, Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation. Optik 206, 164335 (2020)

    Article  ADS  Google Scholar 

  19. H.U. Rehman, N. Ullah, M.A. Imran, Highly dispersive optical solitons using Kudryashov’s method. Optik 199, 163349 (2019)

    Article  ADS  Google Scholar 

  20. N. Ullah, H.U. Rehman, M.A. Imran, T. Abdeljawad, Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities. Results Phys. 17, 103021 (2020)

    Article  Google Scholar 

Download references

Acknowledgements

The research work of the eighth author (MRB) was supported by the grant NPRP 11S-1246-170033 from QNRF and he is thankful for it.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mehmet Ekici.

Ethics declarations

Conflict of interest

The authors also declare that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zayed, E.M.E., Al-Nowehy, AG., Alngar, M.E.M. et al. Highly dispersive optical solitons in birefringent fibers with four nonlinear forms using Kudryashov’s approach. J Opt 50, 120–131 (2021). https://doi.org/10.1007/s12596-020-00668-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12596-020-00668-6

Keywords

Mathematics Subject Classification

Navigation