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<p>This research establishes a comprehensive theoretical framework for soliton propagation in magneto-optic waveguides by investigating a generalized coupled Kudryashov-type nonlinear Schrödinger system under the influence of higher-order nonlinear effects. The primary objective is to resolve the complex interplay between self-steepening, nonlinear dispersion, and magnetization parameters, which are often oversimplified in standard models. By implementing the improved simple equation method, we derive a new spectrum of exact analytical solutions, including robust kink, antikink, and singular profiles, and provide their first detailed parametric characterization. Our findings demonstrate that tuning specific nonlinear coefficients allows for precise control over pulse stability and transition gradients, offering critical insights for the development of high-capacity optical communication architectures and all-optical switching technologies.</p>

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Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月24日

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  • Amany Tarek,
  • Hamdy M. Ahmed,
  • Niveen Badra,
  • Islam Samir

摘要

This research establishes a comprehensive theoretical framework for soliton propagation in magneto-optic waveguides by investigating a generalized coupled Kudryashov-type nonlinear Schrödinger system under the influence of higher-order nonlinear effects. The primary objective is to resolve the complex interplay between self-steepening, nonlinear dispersion, and magnetization parameters, which are often oversimplified in standard models. By implementing the improved simple equation method, we derive a new spectrum of exact analytical solutions, including robust kink, antikink, and singular profiles, and provide their first detailed parametric characterization. Our findings demonstrate that tuning specific nonlinear coefficients allows for precise control over pulse stability and transition gradients, offering critical insights for the development of high-capacity optical communication architectures and all-optical switching technologies.