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<p>This study examines the head-on collisions of solitons within an ultracold neutral plasma (UNPs), taking into account the effects of ion-neutral collisions and longitudinal viscosity. The ion-fluid equations are analyzed under consideration of a q-nonextensive electron distribution. By employing the extended Poincare-Lighthill-Kuo (ePLK) method, two Damped Korteweg-de Vries Burgers (dKdVB) equations are derived. Approximated analytical solutions for the damped KdV Burger equation are obtained, allowing for an investigation into how the ion-neutral collision frequency parameter <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1818_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\( \nu _{in} \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ν</mi> <mrow> <mi mathvariant="italic">in</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, the longitudinal viscosity parameter <i>L</i>, the effective temperature ratio parameter <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1818_Article_IEq2.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\( \sigma _* \)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mi>σ</mi> <mrow> <mrow /> <mo>∗</mo> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>, and the nonextensive parameter <i>q</i> affect soliton propagation. The primary aim of this research is to explore the dissipation of soliton collisions in the context of damping.</p>

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Characteristic Study of Head-on Collision of Ion Acoustic Dissipative Solitons in a Ultracold Neutral Plasma Through the Both Sided Damped KdV-Burgers Equation

  • 期刊论文

  • 发表日期：

    2025年6月9日

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  • Jayshree Mondal,
  • Santanu Raut,
  • Prasanta Chatterjee,
  • Laxmikanta Mandi

摘要

This study examines the head-on collisions of solitons within an ultracold neutral plasma (UNPs), taking into account the effects of ion-neutral collisions and longitudinal viscosity. The ion-fluid equations are analyzed under consideration of a q-nonextensive electron distribution. By employing the extended Poincare-Lighthill-Kuo (ePLK) method, two Damped Korteweg-de Vries Burgers (dKdVB) equations are derived. Approximated analytical solutions for the damped KdV Burger equation are obtained, allowing for an investigation into how the ion-neutral collision frequency parameter \( \nu _{in} \) ν in , the longitudinal viscosity parameter L, the effective temperature ratio parameter \( \sigma _* \) σ ∗ , and the nonextensive parameter q affect soliton propagation. The primary aim of this research is to explore the dissipation of soliton collisions in the context of damping.