A new structure of stochastic solutions to the NLSE in unstable dispersive environments via Rayleigh distribution

The unstable nonlinear Schrödinger equation (UNLSE) characterises the time evolution of disturbances through unstable or marginally stable media. We study the stochastic UNLSE and stochastic modified UNLSE (mUNLSE). We apply the unified solver to provide some new stochastic solutions via Rayleigh di...

Full description

Saved in:
Bibliographic Details
Published in:Pramāṇa 2023-07, Vol.97 (3), Article 118
Main Authors: Abdelrahman, Mahmoud A E, Sohaly, M A, Alharbi, Yousef F
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The unstable nonlinear Schrödinger equation (UNLSE) characterises the time evolution of disturbances through unstable or marginally stable media. We study the stochastic UNLSE and stochastic modified UNLSE (mUNLSE). We apply the unified solver to provide some new stochastic solutions via Rayleigh distribution. The gained stochastic solutions play a crucial role in nonlinear sciences. Rayleigh distribution is used to depict the dispersion random input. In light of description of the behaviour of stochastic solutions, their mean and variance are illustrated. We show the influence of random parameters on the gained stochastic solutions. With the aid of Maple software, various profile pictures are introduced to exhibit the dynamical behaviour of the stochastic solutions.
ISSN:0973-7111
0973-7111
DOI:10.1007/s12043-023-02591-4