• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0157

    • Keywords

       

      Stochastic solver; stochastic solutions; statistics distribution; chi-square; physical applications.

    • 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.

    • Author Affiliations

       

      YOUSEF F ALHARBI1 M A SOHALY2 MAHMOUD A E ABDELRAHMAN1 2

      1. Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia
      2. Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.