New stochastic solutions for a new extension of nonlinear Schrödinger equation

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 fiel...

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Bibliographic Details
Published in:Pramāṇa 2021-12, Vol.95 (4), Article 157
Main Authors: Alharbi, Yousef F, Sohaly, M A, Abdelrahman, Mahmoud A E
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Chi-square test
Observations and Techniques
Physics
Physics and Astronomy
Schrodinger equation
Solvers
Statistical tests
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Summary: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.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-021-02189-8