Abstract
In this paper, we investigate the
(
2
+
1
)
-dimensional Chiral nonlinear Schrödinger equation (CNLSE) via two random sources. Namely, we solve this equation forced by multiplicative noise in Itô sense and the spatio-temporal coefficient or the wave transition follows beta random variable. We present some new stochastic solutions. These stochastic solutions are of great importance for investigation vital complex phenomena in optical fiber communication, computer industry, plasma physics, etc. We introduce the graphical simulations for some of the acquired solutions via the choice of suitable parameters through the MATLAB software for investigating the real significance of the CNLSE. Finally, our new motivation can be extended to further models arising in natural science.