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<p>This work investigates the characteristics of nonlinear ion-acoustic solitary waves (IASWs) that arise and propagate within a nonmagnetized plasma composed of inertial ions, an electron beam, and inertialess Cairns-distributed electrons. To accomplish the primary objective of this study, the two-fluid model is integrated with the reductive perturbation technique (RPT) to derive the evolutionary wave equations applicable for modeling both non-fractional and fractional IASWs in the present plasma model. Utilizing this process, the integer-order Korteweg-de Vries (KdV) equation is derived, followed by analyzing its solitary wave solution. For the second objective of this investigation, a novel method known as the “Tantawy technique” is employed to analyze the fractional KdV equation, aiming to produce highly accurate and more stable approximations suitable for effectively representing physical phenomena. The inquiry then examines the impact of several physical elements, including the nonthermal parameter, electron beam velocity, electron beam concentration, and fractional parameter, on the existence region of solitary waves (SWs) and, consequently, on the properties of IASWs. The Cairns distribution of electrons significantly influences the characteristics of IASWs, depending on parameter that governs the distribution, particularly the nonthermality of inertialess electrons. The research examines the distinct properties of SWs and their existence domain concerning relevant plasma parameters.</p>

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On the Tantawy Technique for Modeling Fractional Ion-Acoustic KdV Solitary Waves in a Nonthermal Plasma Having Electron Beams

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Samir A. El-Tantawy,
  • Muhammad Khalid,
  • Sahibzada I. H. Bacha,
  • Haifa A. Alyousef,
  • Lamiaa S. El-Sherif

摘要

This work investigates the characteristics of nonlinear ion-acoustic solitary waves (IASWs) that arise and propagate within a nonmagnetized plasma composed of inertial ions, an electron beam, and inertialess Cairns-distributed electrons. To accomplish the primary objective of this study, the two-fluid model is integrated with the reductive perturbation technique (RPT) to derive the evolutionary wave equations applicable for modeling both non-fractional and fractional IASWs in the present plasma model. Utilizing this process, the integer-order Korteweg-de Vries (KdV) equation is derived, followed by analyzing its solitary wave solution. For the second objective of this investigation, a novel method known as the “Tantawy technique” is employed to analyze the fractional KdV equation, aiming to produce highly accurate and more stable approximations suitable for effectively representing physical phenomena. The inquiry then examines the impact of several physical elements, including the nonthermal parameter, electron beam velocity, electron beam concentration, and fractional parameter, on the existence region of solitary waves (SWs) and, consequently, on the properties of IASWs. The Cairns distribution of electrons significantly influences the characteristics of IASWs, depending on parameter that governs the distribution, particularly the nonthermality of inertialess electrons. The research examines the distinct properties of SWs and their existence domain concerning relevant plasma parameters.