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New stochastic solutions for a new extension of nonlinear Schrödinger equation

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Abstract

In this article, we applied the unified solver method to extract stochastic solutions of a new stochastic extension of nonlinear Schrödinger equation. This solver gives the closed formula in explicit form. The acquired stochastic solutions may be applicable for explaining some phenomena in many fields of applied sciences. The presented results illustrate that the proposed solver is efficient and adequate. Moreover, the constraint conditions are utilised to verify the existence of solutions. Chi-square statistical distribution is chosen to represent the dispersion random input. In order to illustrate the dynamical behaviour of random solutions, the expectation value and their variance are depicted graphically using suitable parameters.

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Authors and Affiliations

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

    Yousef F Alharbi & Mahmoud A E Abdelrahman

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

    M A Sohaly & Mahmoud A E Abdelrahman

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

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Alharbi, Y.F., Sohaly, M.A. & Abdelrahman, M.A.E. New stochastic solutions for a new extension of nonlinear Schrödinger equation. Pramana - J Phys 95, 157 (2021). https://doi.org/10.1007/s12043-021-02189-8

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  • DOI: https://doi.org/10.1007/s12043-021-02189-8

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