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Modulations of Collapsing Stochastic Modified NLSE Structures

Author

Listed:
  • Mahmoud A. E. Abdelrahman

    (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 30002, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Emad K. El-Shewy

    (Department of Physics, College of Science, Taibah University, Al-Madinah Al-Munawarah 30002, Saudi Arabia
    Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Y. Omar

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

  • N. F. Abdo

    (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 30002, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

The exact solutions of the nonlinear Schrödinger equation (NLSE) predict consistent novel applicable existences such as solitonic localized structures, rouge forms, and shocks that rely on physical phenomena to propagate. Theoretical explanations of randomly nonlinear new extension NLSE structure solutions have undergone stochastic mode examination. This equation enables accurate and efficient solutions capable of simulating developed solitonic structures with dynamic features. The generated random waves are a dynamically regulated system that are influenced by random water currents behaviour. It has been noticed that the stochastic parameter modulates the wave force and supplies the wave collapsing energy with related medium turbulence. It has been observed that noise effects can alter wave characteristics, which may lead to innovative astrophysics, physical density, and ocean waves.

Suggested Citation

  • Mahmoud A. E. Abdelrahman & Emad K. El-Shewy & Y. Omar & N. F. Abdo, 2023. "Modulations of Collapsing Stochastic Modified NLSE Structures," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4330-:d:1262174
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    References listed on IDEAS

    as
    1. Ma, Yu-Lan & Li, Bang-Qing, 2022. "Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
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