Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise-Reference-Cited by-同舟云学术

Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise

Published:2023 Issue:9 Volume:8 Page:21606-21621
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ur Rehman Hamood¹,Awan Aziz Ullah²,Eldin Sayed M.³,Iqbal Ifrah¹

Affiliation:

1. Department of Mathematics, University of Okara, Okara, Pakistan

2. Department of Mathematics, University of the Punjab, Lahore, Pakistan

3. Center of Research, Faculty of Engineering, Future University, New Cairo 11835, Egypt

Abstract

<abstract><p>In many nonlinear partial differential equations, noise or random fluctuation is an inherent part of the system being modeled and have vast applications in different areas of engineering and sciences. This objective of this paper is to construct stochastic solitons of Biswas-Arshed equation (BAE) under the influence of multiplicative white noise in the terms of the Itô calculus. Bright, singular, dark, periodic, singular and combined singular-dark stochastic solitons are attained by using the Sardar subequation method. The results prove that the suggested approach is a very straightforward, concise and dynamic addition in literature. By using Mathematica 11, some 3D and 2D plots are illustrated to check the influence of multiplicative noise on solutions. The presence of multiplicative noise leads the fluctuations and have significant effects on the long-term behavior of the system. So, it is observed that multiplicative noise stabilizes the solutions of BAE around zero.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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