A novel motivation for the unstable nonlinear Schrödinger equation through random inputs
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Date
2024
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Publisher
Saudi Digital Library
Abstract
<jats:p>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.</jats:p>
Description
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.
© 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license
(http://creativecommons.org/licenses/by/4.0/). https://doi.org/10.1063/5.0196489
Keywords
QC1-999, Physics, Statistical and Nonlinear Physics, Schrödinger equation, Applied mathematics, 01 natural sciences, Computer science, Quantum mechanics, Physics and Astronomy, Modulational Instability, Discrete Solitons in Nonlinear Photonic Systems, Modeling and Simulation, 0103 physical sciences, Physical Sciences, FOS: Mathematics, Nonlinear system, Nonlinear Schrödinger equation, Characterization of Chaotic Quantum Dynamics and Structures, Statistical physics, Anomalous Diffusion Modeling and Analysis, Mathematics