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A novel motivation for the unstable nonlinear Schrödinger equation through random inputs.

Authors :
Albalawi, Sami M.
Sohaly, M. A.
Fares, M. E.
Source :
AIP Advances. Feb2024, Vol. 14 Issue 2, p1-5. 5p.
Publication Year :
2024

Abstract

We investigate the stochastic unstable nonlinear Schrödinger equation through bi-random sources. Specifically, we solve this equation via Itô sense, with the parameter following Laplace and Gumbel distributions. We provide vital stochastic solutions in applied sciences. We employ He's semi-inverse technique in order to provide these solutions in a unified way. Actually, this is the first time that the same model has been taken into account in these circumstances. In order to investigate the real relevance of the stochastic unstable nonlinear Schrödinger equation, we provide the simulations for some of the collected solutions using the appropriate parameter settings provided by the MATLAB software. Finally, our renewed drive might expand to incorporate further emerging natural science models. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21583226
Volume :
14
Issue :
2
Database :
Academic Search Index
Journal :
AIP Advances
Publication Type :
Academic Journal
Accession number :
175797124
Full Text :
https://doi.org/10.1063/5.0196489