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A new structure of stochastic solutions to the NLSE in unstable dispersive environments via Rayleigh distribution

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Abstract

The unstable nonlinear Schrödinger equation (UNLSE) characterises the time evolution of disturbances through unstable or marginally stable media. We study the stochastic UNLSE and stochastic modified UNLSE (mUNLSE). We apply the unified solver to provide some new stochastic solutions via Rayleigh distribution. The gained stochastic solutions play a crucial role in nonlinear sciences. Rayleigh distribution is used to depict the dispersion random input. In light of description of the behaviour of stochastic solutions, their mean and variance are illustrated. We show the influence of random parameters on the gained stochastic solutions. With the aid of Maple software, various profile pictures are introduced to exhibit the dynamical behaviour of the stochastic solutions.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia

    Mahmoud A E Abdelrahman & Yousef F Alharbi

  2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura , 35516, Egypt

    Mahmoud A E Abdelrahman & M A Sohaly

Authors
  1. Mahmoud A E Abdelrahman
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  2. M A Sohaly
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  3. Yousef F Alharbi
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Correspondence to Mahmoud A E Abdelrahman.

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Abdelrahman, M.A.E., Sohaly, M.A. & Alharbi, Y.F. A new structure of stochastic solutions to the NLSE in unstable dispersive environments via Rayleigh distribution. Pramana - J Phys 97, 118 (2023). https://doi.org/10.1007/s12043-023-02591-4

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  • DOI: https://doi.org/10.1007/s12043-023-02591-4

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