Revealing solitons in magneto-optic waveguides for a system of stochastic nonlinear Schrödinger equations with parabolic-nonlocal law of refractive index

This research investigates the effect of white noise on the waves propagated in magneto-optic waveguides. A coupled system of stochastic nonlinear Schrödinger equations (NLSEs) with the parabolic-nonlocal law of refractive index is used to mimic the propagated waves. The propagation of electromagnetic waves in magneto-optic waveguides is governed by the coupled nonlinear Schrödinger equation with generalized anti-cubic nonlinearity. These parts are essential to optical transmission lines and lasers because they are used as modulators, circulators, and isolators in integrated optical circuits. Employing the improved modified extended tanh function method (IMETFM), we identify novel stochastic traveling wave solutions. Dark, bright, and singular solitons are produced. Additionally, Jacobi elliptic function (JEF), hyperbolic, periodic, Weierstrass elliptic function (WEF), and singular periodic solutions are extracted. Through graphical representations, we analyze the behavior of these solutions across various noise strengths, offering insights into their physical interpretations.