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<p>This study introduces a novel stochastic extension of the Sasa-Satsuma equation tailored for birefringent optical fibers, incorporating stochastic perturbations within the Stratonovich framework. The stability landscapes and complex behaviors inherent in the system are elucidated through bifurcation analysis and the exploration of chaotic dynamics. Furthermore, exact traveling wave solutions are derived, expressed in terms of Jacobi elliptic and hyperbolic functions, providing deep insights into the formation and propagation of solitons and other nonlinear wave structures under stochastic influences. The primary contributions of this work lie in its innovative mathematical framework and the derivation of exact solutions that account for higher-order nonlinear effects and random perturbations. These advancements hold significant implications for designing and optimizing optical fiber communication systems, offering enhanced control over pulse stability and signal integrity in high-capacity fiber networks. The findings enrich the theoretical understanding of nonlinear wave propagation in complex media, paving the way for future explorations in nonlinear optics and related fields.</p>

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Chaotic dynamics and bifurcation analysis of optical solitons in birefringent fibers governed by the Sasa-Satsuma equation with stochastic perturbation

  • 期刊论文

  • 发表日期：

    2025年3月27日

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  • Ahmed H. Arnous

摘要

This study introduces a novel stochastic extension of the Sasa-Satsuma equation tailored for birefringent optical fibers, incorporating stochastic perturbations within the Stratonovich framework. The stability landscapes and complex behaviors inherent in the system are elucidated through bifurcation analysis and the exploration of chaotic dynamics. Furthermore, exact traveling wave solutions are derived, expressed in terms of Jacobi elliptic and hyperbolic functions, providing deep insights into the formation and propagation of solitons and other nonlinear wave structures under stochastic influences. The primary contributions of this work lie in its innovative mathematical framework and the derivation of exact solutions that account for higher-order nonlinear effects and random perturbations. These advancements hold significant implications for designing and optimizing optical fiber communication systems, offering enhanced control over pulse stability and signal integrity in high-capacity fiber networks. The findings enrich the theoretical understanding of nonlinear wave propagation in complex media, paving the way for future explorations in nonlinear optics and related fields.