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Nonlinear model under anomalous dispersion regime: Chirped periodic and solitary waves

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  • Seadawy, Aly R.
  • Rizvi, Syed T.R.
  • Sohail, Muhammad
  • Ali, Kashif

Abstract

In this paper, our aim is to obtain the chirped solitons solutions for higher order nonlinear Schrödinger equation (NLSE) with anomalous dispersion regime (NLSE-ADR). By using Jacobin elliptic functions (JEF), new chirped dark solitons, bright solitons, hyperbolic and periodic solitons, trigonometric map solutions and also some solitary waves will be obtained. The accompanying chirp has also been produced for each of these optical solitons. We demonstrate our results by some graphical representation in 3-D, 2-D, contour and density plot.

Suggested Citation

  • Seadawy, Aly R. & Rizvi, Syed T.R. & Sohail, Muhammad & Ali, Kashif, 2022. "Nonlinear model under anomalous dispersion regime: Chirped periodic and solitary waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007500
    DOI: 10.1016/j.chaos.2022.112558
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    1. Daoui, Abdel Kader & Messouber, Abdelouahab & Triki, Houria & Zhou, Qin & Biswas, Anjan & Liu, Wenjun & Alzahrani, Abdullah K. & Belic, Milivoj R., 2021. "Propagation of chirped periodic and localized waves with higher-order effects through optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Seadawy, Aly R. & Bilal, M. & Younis, M. & Rizvi, S.T.R. & Althobaiti, Saad & Makhlouf, M.M., 2021. "Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    4. Seadawy, Aly R. & Cheemaa, Nadia, 2019. "Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 529(C).
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