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Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions

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  • Sugati, Taghreed G.
  • Seadawy, Aly R.
  • Alharbey, R.A.
  • Albarakati, W.

Abstract

The Hirota dynamical system is a modified nonlinear Schrödinger equation (NLSE). It has time-delay corrections and higher-order dispersion to the cubic nonlinearity. It describe the propagation of wave in the optical fibers and ocean; it can be viewed as an approximation which is more accurate than the NLSE. We investigate the nonlinear generalized higher-order Hirota equation, for certain ultrashort optical pulses propagating in a nonlinear inhomogeneous fiber. By implementing variational principle and computational techniques, we obtained chirp optical and numerical wave solutions. Furthermore, the existence, uniqueness and stability are studied for this model.

Suggested Citation

  • Sugati, Taghreed G. & Seadawy, Aly R. & Alharbey, R.A. & Albarakati, W., 2022. "Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077921011413
    DOI: 10.1016/j.chaos.2021.111788
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    References listed on IDEAS

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    1. Hoseini, S.M. & Marchant, T.R., 2009. "Soliton perturbation theory for a higher order Hirota equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 770-778.
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    4. Ma, Wen-Xiu, 2021. "N-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 270-279.
    5. Kovalyov, Mikhail, 2007. "Uncertainty principle for the nonlinear waves of the Korteweg–de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 431-444.
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    Cited by:

    1. Arzu Akbulut & Melike Kaplan & Rubayyi T. Alqahtani & W. Eltayeb Ahmed, 2023. "On the Dynamics of the Complex Hirota-Dynamical Model," Mathematics, MDPI, vol. 11(23), pages 1-12, December.

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