Optical-Solitons in Magneto-optic Waveguides with Perturbed Resonant Nonlinear

Abstract

This article focuses on a coupled system of perturbed resonant nonlinear-Schrödinger equation (NLSE) in magneto-optic waveguides. The system incorporates spatio-temporal dispersion (STD), inter-modal dispersion (IMD), parabolic-law nonlinearity, and multiplicative noise in the Itô sense. By using the improve direct algebraic approach and computer algebraic system such as Maple, various types of optical solitons are explored, including dark solitons, bright solitons, straddled solitons, singular solitons, as well as solutions based on Jacobi elliptic functions and Weierstrass-elliptic functions. Numerical simulations of some solutions are also presented.