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<p>This paper investigates the optical soliton solutions to a special form of nonlinear Schrödinger equation governed by quintuple-power-law self-phase modulation and nonlinear chromatic dispersion. The investigation applies the generalized exponential rational function method to derive various soliton solutions to the governing model. Through this approach, a wide range of soliton behaviors are uncovered, including dark, bright, single, wave, and mixed dark-bright soliton solutions. The study highlights the versatility and efficiency of the present method in exploring the intricate dynamics of optical solitons under complex nonlinear conditions. By addressing the interplay between quintuple-power-law nonlinearity and chromatic dispersion, the findings contribute to a deeper understanding of soliton physics and expand the analytical toolkit for modeling such phenomena. These results have implications for advancing optical communication technologies and understanding soliton dynamics in nonlinear optical systems, providing a foundation for future studies in this domain.</p>

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Formulation of quiescent optical solutions in the nonlinear Schrödinger equation with nonlinear chromatic dispersion and Kudryashov’s generalized quintuple-power law

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Salim S. Mahmood,
  • Muhammad Amin S. Murad

摘要

This paper investigates the optical soliton solutions to a special form of nonlinear Schrödinger equation governed by quintuple-power-law self-phase modulation and nonlinear chromatic dispersion. The investigation applies the generalized exponential rational function method to derive various soliton solutions to the governing model. Through this approach, a wide range of soliton behaviors are uncovered, including dark, bright, single, wave, and mixed dark-bright soliton solutions. The study highlights the versatility and efficiency of the present method in exploring the intricate dynamics of optical solitons under complex nonlinear conditions. By addressing the interplay between quintuple-power-law nonlinearity and chromatic dispersion, the findings contribute to a deeper understanding of soliton physics and expand the analytical toolkit for modeling such phenomena. These results have implications for advancing optical communication technologies and understanding soliton dynamics in nonlinear optical systems, providing a foundation for future studies in this domain.