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<p>The propagation of optical solitons in negative-index materials (NIMs) is studied with second and third-order nonlinearities through the inhomogeneous higher-order nonlinear Schrödinger equation (IHNLSE). This research derives analytical soliton solutions using the trial equation method, yielding bright solitons, W-shaped solitons, and kink solitons. The stability and propagation properties of these solitons are analyzed across different conditions. Numerical simulations explore the collision dynamics of two bright soliton pulses, showing how they interact while preserving their integrity due to their robust nature. This characteristic is crucial for optical communication, allowing solitons to transmit information over long distances without distortion. The study also investigates modulational instability (MI) in a model with variable coefficients and identifies the parameter regimes under which small perturbations may grow. This instability is influenced by the variable coefficients, which add further complexity to the system. Overall, this study offers a thorough understanding of soliton propagation in NIMs, highlighting the role of higher-order nonlinearities and variable coefficients. The findings have potential applications in advanced photonic devices, nonlinear optics, and optical communication systems, where precise control over soliton dynamics is crucial.</p>

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Investigating optical solitons and modulational instability in nonlinear metamaterials with quadratic-cubic nonlinearity

  • 期刊论文

  • 发表日期：

    2025年12月29日

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  • Nawel Hambli,
  • Faiçal Azzouzi,
  • Abdesselam Bouguerra,
  • Dikra Bouras,
  • Ahlem Guesmi,
  • Lotfi Khezami,
  • Mamoun Fellah

摘要

The propagation of optical solitons in negative-index materials (NIMs) is studied with second and third-order nonlinearities through the inhomogeneous higher-order nonlinear Schrödinger equation (IHNLSE). This research derives analytical soliton solutions using the trial equation method, yielding bright solitons, W-shaped solitons, and kink solitons. The stability and propagation properties of these solitons are analyzed across different conditions. Numerical simulations explore the collision dynamics of two bright soliton pulses, showing how they interact while preserving their integrity due to their robust nature. This characteristic is crucial for optical communication, allowing solitons to transmit information over long distances without distortion. The study also investigates modulational instability (MI) in a model with variable coefficients and identifies the parameter regimes under which small perturbations may grow. This instability is influenced by the variable coefficients, which add further complexity to the system. Overall, this study offers a thorough understanding of soliton propagation in NIMs, highlighting the role of higher-order nonlinearities and variable coefficients. The findings have potential applications in advanced photonic devices, nonlinear optics, and optical communication systems, where precise control over soliton dynamics is crucial.