Open AccessThe effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation
Author(s) -
Mahmoud A. E. Abdelrahman,
Wael W. Mohammed,
Meshari Alesemi,
Sahar Albosaily
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021180
Subject(s) - mathematics , ode , multiplicative noise , riccati equation , multiplicative function , nonlinear system , stochastic resonance , trigonometric functions , nonlinear schrödinger equation , trigonometry , noise (video) , mathematical analysis , schrödinger equation , differential equation , physics , quantum mechanics , computer science , geometry , signal transfer function , digital signal processing , artificial intelligence , analog signal , image (mathematics) , computer hardware
We consider in this paper the stochastic nonlinear Schrödinger equation forced by multiplicative noise in the Itô sense. We use two different methods as sine-cosine method and Riccati-Bernoulli sub-ODE method to obtain new rational, trigonometric and hyperbolic stochastic solutions. These stochastic solutions are of a qualitatively distinct nature based on the parameters. Moreover, the effect of the multiplicative noise on the solutions of nonlinear Schrödinger equation will be discussed. Finally, two and three-dimensional graphs for some solutions have been given to support our analysis.