Bifurcation and Analytical Solutions of the Space-Fractional Stochastic Schrödinger Equation with White Noise

The qualitative theory for planar dynamical systems is used to study the bifurcation of the wave solutions for the space-fractional nonlinear Schrödinger equation with multiplicative white noise. Employing the first integral, we introduce some new wave solutions, assorted into periodic, solitary, an...

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Bibliographic Details
Published inFractal and fractional Vol. 7; no. 2; p. 157
Main Author Al Nuwairan, Muneerah
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2023
Subjects
bifurcation analysis
Bifurcation theory
Differential equations
Dynamical systems
Electric fields
Equilibrium
Exact solutions
fractional derivatives
Influence
Initial conditions
Ordinary differential equations
Partial differential equations
phase space
Schrodinger equation
stochastic shrödinger equation
White noise
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Summary:The qualitative theory for planar dynamical systems is used to study the bifurcation of the wave solutions for the space-fractional nonlinear Schrödinger equation with multiplicative white noise. Employing the first integral, we introduce some new wave solutions, assorted into periodic, solitary, and kink wave solutions. The dependence of the solutions on the initial conditions is investigated. Some solutions are clarified by the display of their 2D and 3D representations with varying levels of noise to show the influence of multiplicative white noise on the solutions.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7020157