Additional investigation of the Biswas-Arshed equation to reveal optical soliton dynamics in birefringent fiber

摘要

This study explores optical solitons in the Biswas–Arshed equation within birefringent fibers.Employing the unified solver method, the (1/(φ(η)),(φ'(η))/(φ(η))) method, and new Kudryashov’s method, we extract various optical soliton solutions, encompassing dark, singular, bright,and periodic forms. These solutions deepen our understanding of dynamic phenomena inbirefringent fibers, showcasing their potential practical applications. The results, effectivelyvisualized in 3D and 2D plots, reveal intricate patterns. Our research underscores the efficacyand simplicity of these approaches in obtaining optical solitons for diverse nonlinearevolution equations. The novelty lies in the advanced methodologies applied to investigatethe Biswas–Arshed equation, yielding a diverse array of soliton solutions and their practicalimplications. This study not only presents a variety of solutions but also highlights theirapplicability across disciplines and real-world scenarios. Consequently, our research significantlycontributes to advancing our understanding of optical solitons in birefringent fibers,offering a methodological breakthrough in engineering and applied physics.