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<p>In this study, the Fokas system incorporating the conformable derivative is explored utilizing the newly generalized Kudryashov technique and the modified Kudryashov method. The analysis yields an array of novel optical soliton structures, including multi-bright, dark, kink-type, wave-form, and dark–bright solitons. These diverse solutions are presented through a combination of contour mappings, as well as two- and three-dimensional visual illustrations to highlight their dynamic behavior. A significant aspect of this work is the thorough investigation into how the fractional-order parameter, introduced via the conformable derivative, and the temporal evolution parameter, affect the formation and modulation of these solitons. Variations in these parameters are shown to directly influence critical features such as soliton speed, phase structure, and spatial localization. The insights obtained from this study advance the development of methods for controlling optical pulses within mono-mode optical fibers, where maintaining pulse shape and stability is critical.</p>

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Pulse propagation of soliton solutions via the conformable Fokas system in monomode optical fibers

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Muhammad Amin S. Murad,
  • Mohammed Sadeq Salih,
  • Ahmed H. Arnous,
  • Mujahid Iqbal

摘要

In this study, the Fokas system incorporating the conformable derivative is explored utilizing the newly generalized Kudryashov technique and the modified Kudryashov method. The analysis yields an array of novel optical soliton structures, including multi-bright, dark, kink-type, wave-form, and dark–bright solitons. These diverse solutions are presented through a combination of contour mappings, as well as two- and three-dimensional visual illustrations to highlight their dynamic behavior. A significant aspect of this work is the thorough investigation into how the fractional-order parameter, introduced via the conformable derivative, and the temporal evolution parameter, affect the formation and modulation of these solitons. Variations in these parameters are shown to directly influence critical features such as soliton speed, phase structure, and spatial localization. The insights obtained from this study advance the development of methods for controlling optical pulses within mono-mode optical fibers, where maintaining pulse shape and stability is critical.