The impact of noise on the solution of the stochastic fractional Chiral Schrödinger equation forced by multiplicative noise in Itô sense

In this paper, the stochastic fractional chiral nonlinear Schrödinger equation forced by multiplicative noise is investigated. Two different reliable methods, namely, the improved Riccati–Bernoulli sub-ODE method and the improved generalized Riccati equation mapping method, are implemented to obtain new hyperbolic, trigonometric, rational and complex stochastic solutions. These new stochastic solutions are of great importance in the study of nuclear physics and for the investigation of vital complex phenomena in optical fiber communication, computer industry, plasma physics and quantum mechanics, especially in the quantum hall effect. Also, the effect of multiplicative noise on the solution of stochastic fractional chiral Schrödinger equation is examined. Some graphical simulations are presented to illustrate the behavior of the acquired solutions via the choice of suitable parameters for investigating the real significance of the present model equation.