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Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: An application to electronegative plasma

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  • El-Tantawy, S.A.
  • Alharbey, R.A.
  • Salas, Alvaro H.

Abstract

The cylindrical rogue wave (RW) and breathers in a collisionless, unmagnetized, and warm pair-ion plasma having thermal electrons and stationary negatively dust grains are investigated. The derivative expansion technique (DET) is employed for reducing the fluid equations of the mentioned plasma model to a cylindrical nonlinear Schrödinger equation (CNLSE). Posteriorly, for investigating the characteristics features of the cylindrical modulated structures including cylindrical RW and breathers, the CNLSE is solved analytically and numerically via high-accurate ansatz and numerical methods. Some approximate (analytical and numerical) solutions to the CNLSE are obtained for the first time. The ansatz methods is employed for deriving some semi-analytical solutions with high-accuracy. Also, the hybrid method of lines and the moving boundary method (MOL-MBM) is employed for analyzing the CNLSE numerically. A comparison between the approximate analytical and numerical simulation solutions is carried out. Furthermore, the residual maximum global error for the obtained approximate solutions is estimated. We are absolutely sure that this study will help all researchers to understand the mechanism of propagating cylindrical wave in various fields of science such as plasma physics, fluid mechanics, optical fiber, nonlinear optics. etc.

Suggested Citation

  • El-Tantawy, S.A. & Alharbey, R.A. & Salas, Alvaro H., 2022. "Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: An application to electronegative plasma," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011309
    DOI: 10.1016/j.chaos.2021.111776
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    References listed on IDEAS

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    1. Ding, Cui-Cui & Gao, Yi-Tian & Li, Liu-Qing, 2019. "Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 259-265.
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    Cited by:

    1. Samir A. El-Tantawy & Rasool Shah & Albandari W. Alrowaily & Nehad Ali Shah & Jae Dong Chung & Sherif. M. E. Ismaeel, 2023. "A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System," Mathematics, MDPI, vol. 11(7), pages 1-15, April.
    2. El-Tantawy, S.A. & Salas, Alvaro H. & Alyousef, Haifa A. & Alharthi, M.R., 2022. "Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Wang, Haotian & Li, Xin & Zhou, Qin & Liu, Wenjun, 2023. "Dynamics and spectral analysis of optical rogue waves for a coupled nonlinear Schrödinger equation applicable to pulse propagation in isotropic media," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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