scholarly journals The Influence of Noise on the Exact Solutions of the Stochastic Fractional-Space Chiral Nonlinear Schrödinger Equation

2021 ◽  
Vol 5 (4) ◽  
pp. 262
Author(s):  
Wael W. Mohammed ◽  
O. Bazighifan ◽  
Mohammed M. Al-Sawalha ◽  
A. Othman Almatroud ◽  
Elkhateeb S. Aly
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Multiplicative Noise ◽  
Quantum Hall ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Influence Of Noise ◽  
Fractional Space

In this paper, we consider the stochastic fractional-space Chiral nonlinear Schrödinger equation (S-FS-CNSE) derived via multiplicative noise. We obtain the exact solutions of the S-FS-CNSE by using the Riccati equation method. The obtained solutions are extremely important in the development of nuclear medicine, the entire computer industry and quantum mechanics, especially in the quantum hall effect. Moreover, we discuss how the multiplicative noise affects the exact solutions of the S-FS-CNSE. This equation has never previously been studied using a combination of multiplicative noise and fractional space.

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

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1874
Author(s):  
Sahar Albosaily ◽  
Wael W. Mohammed ◽  
Mohammed A. Aiyashi ◽  
Mahmoud A. E. Abdelrahman
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Multiplicative Noise ◽  
Applied Science ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

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.

scholarly journals The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation

2021 ◽  
Vol 6 (3) ◽  
pp. 2970-2980
Author(s):  
Mahmoud A. E. Abdelrahman ◽  
◽  
Wael W. Mohammed ◽  
Meshari Alesemi ◽  
Sahar Albosaily ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Multiplicative Noise ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

scholarly journals Exact Solutions of the Generalized Nonlinear Schrodinger Equation

2021 ◽  
pp. 18-25
Author(s):  
Gaukhar Shaikhova ◽  
Arailym Syzdykova ◽  
Samgar Daulet
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Physical Problems ◽  
Different Types ◽  
Generalized Nonlinear Schrödinger Equation

In this work, the generalized nonlinear Schrodinger equation is investigated. Exact solutions are derived by the sinecosine method. This method is used to obtain the exact solutions for different types of nonlinear partial differential equations. Graphs of obtained solutions are presented. The obtained solutions are found to be important for the explanation of some practical physical problems.

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