Perturbations of optical solitons in magneto-optic waveguides incorporating multiplicative white noise and sixth-order dispersion: a study of the Sasa–Satsuma equation

Abstract

Our study examines the impact of sixth-order dispersion and multiplicative white noise on the transmission of optical solitons within magneto-optic waveguides. Our findings offer valuable insights that are crucial for the advancement of optical communications. We demonstrate how these factors affect soliton behaviour by developing and analysing a stochastic version of the Sasa–Satsuma equation, which describes the dynamics of optical solitons in dispersive media. Our research introduces an enhanced analytical approach that addresses the complexities introduced by these perturbations, specifically by modifying the sub-ordinary differential equation (sub-ODE) method. The investigation reveals the substantial influence of sixth-order dispersion and multiplicative white noise on the quality and stability of soliton transmission in such waveguides. These findings emphasise the significant importance of considering these factors in designing and optimising optical communication systems, particularly those utilising the propagation of optical solitons. This research represents a substantial advancement in our understanding of and ability to mitigate the effects of higher-order dispersion and stochastic perturbations on soliton-based communication technology.