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Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities

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  • Seadawy, Aly R.
  • Rizvi, Syed T.R.
  • Mustafa, B.
  • Ali, K.
  • Althubiti, Saeed

Abstract

In this paper, we study the cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) to describe the propagation properties of nonlinear periodic waves (PW) in an optical fiber. We find chirped periodic waves (CPW) with some Jacobi elliptic functions (JEF). We also obtain some solitary waves (SW) like dark, bright, hyperbolic and singular solitons. The chirp that corresponds to each of these optical solitons is also determined. The pair intensity is shown to be related to the nonlinear chirp, which is determined by self-frequency shift and pause self-steepening (SS). The shape of profile for these waves will also be display.

Suggested Citation

  • Seadawy, Aly R. & Rizvi, Syed T.R. & Mustafa, B. & Ali, K. & Althubiti, Saeed, 2022. "Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000157
    DOI: 10.1016/j.chaos.2022.111804
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    References listed on IDEAS

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    1. Cairone, Fabiana & Mirabella, Daniela & Cabrales, Pedro J. & Intaglietta, Marcos & Bucolo, Maide, 2018. "Quantitative analysis of spatial irregularities in RBCs flows," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 349-355.
    2. 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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    Cited by:

    1. Aly R. Seadawy & Syed T. R. Rizvi & Hanadi Zahed, 2023. "Stability Analysis of the Rational Solutions, Periodic Cross-Rational Solutions, Rational Kink Cross-Solutions, and Homoclinic Breather Solutions to the KdV Dynamical Equation with Constant Coefficien," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    2. Hu, Xiang & Yin, Zhixiang, 2022. "A study of the pulse propagation with a generalized Kudryashov equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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