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Optical soliton perturbation with Kudryashov’s law of arbitrary refractive index

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Abstract

This paper recovers and lists optical solitons of perturbed Kudryashov’s model with arbitrary refractive index. Dark, singular and combo singular soliton solutions are identified with five integration schemes. These are visible along with their respective existence criteria.

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References

  1. A.H. Arnous, A. Biswas, M. Ekici, A.K. Alzahrani, M.R. Belic, Optical solitons and conservation laws of Kudryashov’s equation with improved modified extended tanh-function. Optik 225, 165406 (2021)

    Article  ADS  Google Scholar 

  2. G. Genc, M. Ekici, A. Biswas, M.R. Belic, Cubic-quartic optical solitons with Kudryashov’s law of refractive index by \(F\)-expansion schemes. Results Phys. 18, 103273 (2020)

    Article  Google Scholar 

  3. N.A. Kudryashov, A generalized model for description of propagation pulses in optical fiber. Optik 189, 42–52 (2019)

    Article  ADS  Google Scholar 

  4. N.A. Kudryashov, The Painleve approach for finding solitary wave solutions of nonlinear nonintegrable differential equations. Optik 183, 642–649 (2019)

    Article  ADS  Google Scholar 

  5. N.A. Kudryashov, Solitary and periodic waves of the hierarchy for propagation pulse in optical fiber. Optik 194, 163060 (2019)

    Article  ADS  Google Scholar 

  6. N.A. Kudryashov, Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity. Chinese J. Phys. 66, 401–405 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  7. N.A. Kudryashov, Optical solitons of mathematical model with arbitrary refractive index. Optik 224, 165391 (2020)

    Article  ADS  Google Scholar 

  8. N.A. Kudryashov, Highly dispersive optical solitons of equation with arbitrary refractive index. Regul. Chaot. Dyn. 25(6), 537–543 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  9. N.A. Kudryashov, First integrals and general solution of the complex Ginzburg-Landau equation. Appl. Math. Comput. 386, 125407 (2020)

    MathSciNet  MATH  Google Scholar 

  10. N.A. Kudryashov, Highly dispersive optical solitons of equation with various polynomial nonlinearity law. Chaos Solitons & Fractals. 140, 110202 (2020)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  13. T.A. Nofal, E.M.E. Zayed, M.E.M. Alngar, R. M. A. Shohib M. Ekici, Highly dispersive optical solitons perturbation having Kudryashov’s arbitrary form of sextic-power law refractive index and generalized non-local laws. Optik 228, 166120 (2021)

  14. Y. Yildirim, A. Biswas, A. H. Kara, M. Ekici, E. M. E. Zayed, A. K. Alzahrani, M. R. Belic, Optical solitons and conservation law with Kudryashov’s form of arbitrary refractive index. J. Opt. (2021).

  15. E.M.E. Zayed, M.E.M. Alngar, A. Biswas, A.H. Kara, M. Ekici, A.K. Alzahrani, M.R. Belic, Cubic-quartic optical solitons and conservation laws with Kudryashov’s sextic power-law of refractive index. Optik 227, 166059 (2021)

    Article  ADS  Google Scholar 

  16. E.M.E. Zayed, R.M.A. Shohib, M.E.M. Alngar, A. Biswas, M. Ekici, S. Khan, A.K. Alzahrani, M.R. Belic, Optical solitons and conservation laws associated with Kudryashov’s sextic power-law nonlinearity of refractive index. Ukr. J. Phys. Opt. 22(1), 38–49 (2021)

    Article  Google Scholar 

  17. A. Biswas, Optical soliton cooling with polynomial law of nonlinear refractive index. J. Opt. 49(4), 580–583 (2020)

    Article  Google Scholar 

  18. E.M.E. Zayed, M.E.M. Alngar, A. Biswas, A.H. Kara, L. Moraru, M. Ekici, A.K. Alzahrani, M.R. Belic, Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity. J. Opt. 49(4), 584–590 (2020)

    Article  Google Scholar 

  19. E.M.E. Zayed, A.G. Al-Nowehy, M.E.M. Alngar, A. Biswas, M. Asma, M. Ekici, A.K. Alzahrani, M.R. Belic, Highly dispersive optical solitons in birefringent fibers with four nonlinear forms of using Kudryashov’s approach. J. Opt. (2021). https://doi.org/10.1007/s12596-020-00668-6

    Article  Google Scholar 

  20. J. Vega-Guzman, A. Biswas, M. Asma, A.R. Seadawy, M. Ekici, A.K. Alzahrani, M.R. Belic, Optical soliton perturbation with parabolic-nonlocal combo nonlinearity: undetermined coefficients and semi-inverse variational principle. J. Opt. (2021). https://doi.org/10.1007/s12596-020-00670-y

    Article  Google Scholar 

  21. O. Gonzalez-Gaxiola, A. Biswas, M. Ekici, S. Khan, Highly dispersive optical solitons with quadratic-cubic law of refractive index by the variational iteration method. J. Opt. (2021). https://doi.org/10.1007/s12596-020-00671-x

    Article  Google Scholar 

  22. Y. Yildirim, A. Biswas, A.H. Kara, M. Ekici, A.K. Alzahrani, M.R. Belic, Cubic-quartic optical soliton perturbation and conservation laws with generalized Kudryashov’s form of refractive index. J. Opt. (2021). https://doi.org/10.1007/s12596-021-00681-3

    Article  MATH  Google Scholar 

  23. Y. Yildirim, E. Topkara, A. Biswas, H. Triki, M. Ekici, P. Guggilla, S. Khan, M. R. Belic, Cubic–quartic optical soliton perturbation with Lakshmanan–Porsezian–Daniel model by sine–Gordon equation approach. J. Opt. (2021). https://doi.org/10.1007/s12596-021-00685-z

  24. Y. Yildirim, A. Biswas, H. Triki, M. Ekici, P. Guggilla, S. Khan, L. Moraru, M. R. Belic, Cubic–quartic optical soliton perturbation with Kudryashov’s law of refractive index having quadrupled power law and dual form of generalized nonlocal nonlinearity by sine–Gordon equation approach. J. Opt. (2021). https://doi.org/10.1007/s12596-021-00686-y

  25. S. Nandy, V. Lakshminarayanan, Adomian decomposition of scalar and coupled nonlinear Schrödinger equations and dark and bright solitary wave solutions. J. Opt. 44(4), 397–404 (2015)

    Article  Google Scholar 

  26. W. Yua, Q. Zhou, M. Mirzazadeh, W. Liu, A. Biswas, Phase shift, amplification, oscillation and atenuation of solitons in nonlinear optics. J. Adv. Res. 15, 69–76 (2019)

    Article  Google Scholar 

  27. M. Ekici, A. Sonmezoglu, Q. Zhou, S.P. Moshokoa, M.Z. Ullah, A. Biswas, M. Belic, Solitons in magneto-optic waveguides by extended trial function scheme. Superlattices Microstruct. 107, 197–218 (2017)

    Article  ADS  Google Scholar 

  28. M. Mirzazadeh, M. Eslami, A. Biswas, Dispersive optical solitons by Kudryashov’s method. Optik 125(23), 6874–6880 (2014)

    Article  ADS  Google Scholar 

  29. W. Liu, Y. Zhang, H. Triki, M. Mirzazadeh, M. Ekici, Q. Zhou, A. Biswas, M. Belic, Interaction properties of solitonics in inhomogeneous nonlinear media. Nonlinear Dyn. 95(1), 557–563 (2019)

    Article  Google Scholar 

  30. Q. Zhou, L. Liu, H. Zhang, C. Wei, J. Liu, H. Yu, A. Biswas, Analytical study of thirring optical solitons with parabolic law nonlinearity and spatio-temporal distribution. Eur. Phys. J. Plus 130(7), 1–6 (2015)

    Article  Google Scholar 

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Acknowledgements

The research work of the sixth author (MRB) was supported by the grant NPRP 11S-1126-170033 from QNRF, and he is thankful for it.

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Correspondence to Yakup Yıldırım.

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Yıldırım, Y., Biswas, A., Ekici, M. et al. Optical soliton perturbation with Kudryashov’s law of arbitrary refractive index. J Opt 50, 245–252 (2021). https://doi.org/10.1007/s12596-021-00693-z

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  • DOI: https://doi.org/10.1007/s12596-021-00693-z

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