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<p>This study explores overtaking collisions of dust-acoustic (DA) solitons in an opposite-polarity dusty plasma with nonthermal Cairns-Tsallis-distributed electrons. Using the reductive perturbation method, a Korteweg–de Vries (KdV) equation is derived, and multi-soliton solutions are obtained via the Hirota bilinear method. Key results show that soliton amplitude and phase shifts increase with electron nonthermality and temperature ratios but decrease with dust charge asymmetry. Overtaking collisions are found to be elastic, preserving soliton shapes while inducing permanent phase shifts dependent on plasma parameters. These findings confirm the integrable nature of the KdV dynamics in such plasmas. The study highlights how nonlinearity amplifies soliton amplitude and phase shifts, while dispersion influences wave width and speed. Their interplay governs energy transfer during soliton collisions, maintaining structural integrity post-interaction, and facilitating efficient energy redistribution in plasma systems, crucial for understanding turbulence, particle acceleration, and wave dynamics. These results align with experimental observations in quantum semiconductor plasmas and advance predictive models for nonlinear wave phenomena in astrophysical (e.g., planetary magnetospheres).</p>

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Overtaking collisions of dust-acoustic multi-solitons in opposite-polarity plasmas: phase shifts and nonlinear dynamics under Cairns-Tsallis electron statistics

  • 期刊论文

  • 发表日期：

    2026年1月9日

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  • A. Atteya,
  • Reem Altuijri,
  • Abdel-Haleem Abdel-Aty,
  • Pralay Kumar Karmakar,
  • Kottakkaran Sooppy Nisar

摘要

This study explores overtaking collisions of dust-acoustic (DA) solitons in an opposite-polarity dusty plasma with nonthermal Cairns-Tsallis-distributed electrons. Using the reductive perturbation method, a Korteweg–de Vries (KdV) equation is derived, and multi-soliton solutions are obtained via the Hirota bilinear method. Key results show that soliton amplitude and phase shifts increase with electron nonthermality and temperature ratios but decrease with dust charge asymmetry. Overtaking collisions are found to be elastic, preserving soliton shapes while inducing permanent phase shifts dependent on plasma parameters. These findings confirm the integrable nature of the KdV dynamics in such plasmas. The study highlights how nonlinearity amplifies soliton amplitude and phase shifts, while dispersion influences wave width and speed. Their interplay governs energy transfer during soliton collisions, maintaining structural integrity post-interaction, and facilitating efficient energy redistribution in plasma systems, crucial for understanding turbulence, particle acceleration, and wave dynamics. These results align with experimental observations in quantum semiconductor plasmas and advance predictive models for nonlinear wave phenomena in astrophysical (e.g., planetary magnetospheres).