Optical soliton solutions in birefringent fibers with multiplicative white noise: an analysis for the perturbed Chen–Lee–Liu model

This study investigates the behaviour of different types of solitons in optical fibers, specifically in birefringent fibers, under the Chen–Lee–Liu model affected by multiplicative white noise. Solitons are waves that maintain their shape and velocity. The study explores the existence and properties of various soliton solutions, such as straddled solitons, bright solitons, dark solitons, and singular solitons. The study also attempts to identify solutions regarding Jacobi and Weierstrass’s elliptic functions. The research uses two techniques, the enhanced direct algebraic method and the new projective Riccati equations methods, to derive exact solitonic solutions under the influence of multiplicative white noise. These methodologies provide a comprehensive analysis of their properties and behaviours. The investigation enhances the current understanding of soliton behaviour in birefringent fibers within the Chen–Lee–Liu model, especially under the influence of multiplicative white noise. The study paves the way for future research into manipulating and controlling solitons in optical fibers, with potential implications for developing advanced optical communication systems.