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Volume 12
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10.3390/sym12111874
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Article

Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation

by
Sahar Albosaily
1,
Wael W. Mohammed
1,2,*,
Mohammed A. Aiyashi
3 and
Mahmoud A. E. Abdelrahman
2,4
1
Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
3
Department of Mathematics, Jazan University, Jazan 218, Saudi Arabia
4
Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 344, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(11), 1874; https://doi.org/10.3390/sym12111874
Submission received: 20 October 2020 / Revised: 5 November 2020 / Accepted: 10 November 2020 / Published: 14 November 2020
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Abstract

In this article, we take into account the (2+1)-dimensional stochastic Chiral nonlinear Schrödinger equation (2D-SCNLSE) in the Itô sense by multiplicative noise. We acquired trigonometric, rational and hyperbolic stochastic exact solutions, using three vital methods, namely Riccati–Bernoulli sub-ODE, He’s variational and sine–cosine methods. These solutions may be applicable in various applications in applied science. The proposed methods are direct, efficient and powerful. Moreover, we investigate the effect of multiplicative noise on the solution for 2D-SCNLSE by introducing some graphs to illustrate the behavior of the obtained solutions.
Keywords: Chiral nonlinear Schrödinger equation; Riccati–Bernoulli sub-ODE method; variational principles; sine–cosine method; soliton solutions; multiplicative noise; physical applications Chiral nonlinear Schrödinger equation; Riccati–Bernoulli sub-ODE method; variational principles; sine–cosine method; soliton solutions; multiplicative noise; physical applications

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MDPI and ACS Style

Albosaily, S.; Mohammed, W.W.; Aiyashi, M.A.; Abdelrahman, M.A.E. Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation. Symmetry 2020, 12, 1874. https://doi.org/10.3390/sym12111874

AMA Style

Albosaily S, Mohammed WW, Aiyashi MA, Abdelrahman MAE. Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation. Symmetry. 2020; 12(11):1874. https://doi.org/10.3390/sym12111874

Chicago/Turabian Style

Albosaily, Sahar, Wael W. Mohammed, Mohammed A. Aiyashi, and Mahmoud A. E. Abdelrahman. 2020. "Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation" Symmetry 12, no. 11: 1874. https://doi.org/10.3390/sym12111874

APA Style

Albosaily, S., Mohammed, W. W., Aiyashi, M. A., & Abdelrahman, M. A. E. (2020). Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation. Symmetry, 12(11), 1874. https://doi.org/10.3390/sym12111874

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