A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise

2019 ◽  
Vol 98 ◽  
pp. 419-426 ◽  
Author(s):  
Ziyuan Liu ◽  
Hong Zhang ◽  
Jingye Yan ◽  
Songhe Song
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Multiplicative Noise ◽  
Splitting Method ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Stochastic Space ◽  
Fractional Nonlinear Schrödinger Equation

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.

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