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<p>The propagation characteristics of dust-acoustic waves (DAWs) and the generation of Korteweg-de Vries (KdV) and time-fractional KdV (TFKdV) solitons are investigated in an unmagnetized collisionless dusty plasma. The plasma system consists of nonthermal hot electrons, nonthermal ions, and negative dust fluid. To do this, the reductive perturbation method is used to derive the KdV equation. To investigate the TFKdV soliton, the KdV equation is converted to the TFKdV equation by using the procedure of El-Wakil et al. [38]. To study the effects of pertinent parameters, the numerical analysis is performed. It is found that the propagation characteristics, such as phase velocity, nonlinearity, and production of KdV as well as TFKdV solitons, are affected by the concerned plasma parameters.</p>

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The Formation and Propagation of DAKdV and Time-Fractional DAKdV Solitons in a Nonthermal Dusty Plasma

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • M. M. Alam,
  • M. S. Bhuyan,
  • Umma Imon,
  • M. S. Alam

摘要

The propagation characteristics of dust-acoustic waves (DAWs) and the generation of Korteweg-de Vries (KdV) and time-fractional KdV (TFKdV) solitons are investigated in an unmagnetized collisionless dusty plasma. The plasma system consists of nonthermal hot electrons, nonthermal ions, and negative dust fluid. To do this, the reductive perturbation method is used to derive the KdV equation. To investigate the TFKdV soliton, the KdV equation is converted to the TFKdV equation by using the procedure of El-Wakil et al. [38]. To study the effects of pertinent parameters, the numerical analysis is performed. It is found that the propagation characteristics, such as phase velocity, nonlinearity, and production of KdV as well as TFKdV solitons, are affected by the concerned plasma parameters.