Optical solitons in polarization preserving fibers for perturbed resonant NLSE with Kerr law nonlinearity and Bohm potential having multiplicative white noise via Itô calculus

We discuss for the first time, the perturbed resonant nonlinear Schrödinger equation (NLSE) with Kerr law nonlinearity and Bohm potential having a multiplicative white noise. Three integration schemes via modified simple equation method, sine–cosine method and Jacobi elliptic equation method are used. We retrieve soliton solutions to the model, which are described using parametric constraints. Jacobi elliptic function solutions, bright, dark, singular soliton solutions are presented.