Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method

Stochastic partial differential equations have wide applications in various fields of science and engineering. This paper addresses the optical stochastic solitons and other exact stochastic solutions through birefringent fibers for the Biswas–Arshed equation with multiplicative white noise using th...

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Main Authors: Yazid Alhojilan, Hamdy M. Ahmed, Wafaa B. Rabie
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/1/207
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author Yazid Alhojilan
Hamdy M. Ahmed
Wafaa B. Rabie
author_facet Yazid Alhojilan
Hamdy M. Ahmed
Wafaa B. Rabie
author_sort Yazid Alhojilan
collection DOAJ
description Stochastic partial differential equations have wide applications in various fields of science and engineering. This paper addresses the optical stochastic solitons and other exact stochastic solutions through birefringent fibers for the Biswas–Arshed equation with multiplicative white noise using the modified extended mapping method. This model contains many kinds of soliton solutions, which are always symmetric or anti-symmetric in space. Stochastic bright soliton solutions, stochastic dark soliton solutions, stochastic combo bright–dark soliton solutions, stochastic combo singular-bright soliton solutions, stochastic singular soliton solutions, stochastic periodic solutions, stochastic rational solutions, stochastic Weierstrass elliptic doubly periodic solutions, and stochastic Jacobi elliptic function solutions are extracted. The constraints on the parameters are considered to guarantee the existence of these stochastic solutions. Furthermore, some of the selected solutions are described graphically to demonstrate the physical nature of the obtained solutions.
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spelling doaj.art-7d0ba2fd080b4df2869295d1fb5a23902023-12-01T00:53:28ZengMDPI AGSymmetry2073-89942023-01-0115120710.3390/sym15010207Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping MethodYazid Alhojilan0Hamdy M. Ahmed1Wafaa B. Rabie2Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, El-Shorouk City P.O. Box 11837, EgyptDepartment of Basic Sciences, Higher Institute of Engineering and Technology, Menoufia P.O. Box 32821, EgyptStochastic partial differential equations have wide applications in various fields of science and engineering. This paper addresses the optical stochastic solitons and other exact stochastic solutions through birefringent fibers for the Biswas–Arshed equation with multiplicative white noise using the modified extended mapping method. This model contains many kinds of soliton solutions, which are always symmetric or anti-symmetric in space. Stochastic bright soliton solutions, stochastic dark soliton solutions, stochastic combo bright–dark soliton solutions, stochastic combo singular-bright soliton solutions, stochastic singular soliton solutions, stochastic periodic solutions, stochastic rational solutions, stochastic Weierstrass elliptic doubly periodic solutions, and stochastic Jacobi elliptic function solutions are extracted. The constraints on the parameters are considered to guarantee the existence of these stochastic solutions. Furthermore, some of the selected solutions are described graphically to demonstrate the physical nature of the obtained solutions.https://www.mdpi.com/2073-8994/15/1/207stochastic solitonsbirefringent fibersstochastic periodic wave solutionsBiswas–Arshad equationwhite noisemodified extended mapping method
spellingShingle Yazid Alhojilan
Hamdy M. Ahmed
Wafaa B. Rabie
Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
Symmetry
stochastic solitons
birefringent fibers
stochastic periodic wave solutions
Biswas–Arshad equation
white noise
modified extended mapping method
title Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
title_full Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
title_fullStr Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
title_full_unstemmed Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
title_short Stochastic Solitons in Birefringent Fibers for Biswas–Arshed Equation with Multiplicative White Noise via Itô Calculus by Modified Extended Mapping Method
title_sort stochastic solitons in birefringent fibers for biswas arshed equation with multiplicative white noise via ito calculus by modified extended mapping method
topic stochastic solitons
birefringent fibers
stochastic periodic wave solutions
Biswas–Arshad equation
white noise
modified extended mapping method
url https://www.mdpi.com/2073-8994/15/1/207
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