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On the Dynamics of the Complex Hirota-Dynamical Model

Author

Listed:
  • Arzu Akbulut

    (Department of Mathematics, Faculty of Art and Science, Bursa Uludag University, Bursa 16059, Turkey)

  • Melike Kaplan

    (Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, Kastamonu 37150, Turkey)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia)

  • W. Eltayeb Ahmed

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia)

Abstract

The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies. This study utilizes several soliton-type solutions to HDM via the modified simple equation and generalized and modified Kudryashov approaches. Modulation instability (MI) analysis is investigated. We also offer visual representations for the HDM.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4851-:d:1292812
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    References listed on IDEAS

    as
    1. 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).
    2. Ma, Wen-Xiu & Lee, Jyh-Hao, 2009. "A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1356-1363.
    3. Yang, Xuehua & Wu, Lijiao & Zhang, Haixiang, 2023. "A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity," Applied Mathematics and Computation, Elsevier, vol. 457(C).
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