Enhancing the performance and efficiency of optical communications through soliton solutions in birefringent fibers

This paper represents a comprehensive exploration of mathematical modeling and analysis in the context of fiber communications, with a specific focus on optimizing performance and efficiency. Positioned at the vanguard of innovation within the field of nonlinear optics, this research stands as a pioneering effort, venturing into uncharted territory by comprehensively examining soliton solutions. We direct our inquiry to the cubic-quartic nonlinear Schrödinger equation model, specifically as applied to birefringent fibers exhibiting cubic-quintic-septic-nonic (CQSN) nonlinearity. This study delivers a distinctive and noteworthy contribution to the scientific landscape. Employing advanced mathematical techniques, notably the generalized auxiliary equation technique, we have derived a diverse array of soliton solutions for CQ optical solitons within birefringent fibers. These solutions encompass dark, bright, singular, combo-bright-dark, and combo-singular solitons. Through the lens of the CQSN nonlinear Schrödinger’s equation, our investigation delves into the dynamic behavior of the system and its implications for fiber communication. This manuscript encapsulates original and innovative research, illuminating the potential of mathematical methodologies to enhance the design and operation of fiber communication systems. It underscores the pioneering essence of our study, emphasizing the practical significance of our findings in advancing the field of nonlinear optics and its potential impact on real-world applications.