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<p>In this problem, we have investigated the arbitrary amplitude dust-ion acoustic (DIA) nonlinear wave structures at the acoustic (sonic) speed <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1829_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="64" /> </InlineMediaObject> <EquationSource Format="TEX">\(M=M_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>=</mo> <msub> <mi>M</mi> <mi>c</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> in a collisionless unmagnetized five components electron-positron-ion-dusty (e-p-i-d) plasma system of Halder et al. (Plasma Phys. Rep. <b>49</b>, 467–483, <CitationRef CitationID="CR22">2023</CitationRef>). The present plasma system confirms the existence of negative potential solitary waves (NPSWs), positive potential solitary waves (PPSWs), and negative potential double layers (NPDLs) at the acoustic speed <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1829_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="64" /> </InlineMediaObject> <EquationSource Format="TEX">\(M=M_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>=</mo> <msub> <mi>M</mi> <mi>c</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>. We have studied the effect of different parameters of the system on the amplitude of PPSWs, NPSWs, and NPDLs at <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1829_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="64" /> </InlineMediaObject> <EquationSource Format="TEX">\(M=M_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>=</mo> <msub> <mi>M</mi> <mi>c</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>. We have also analyzed the difference between various DIA nonlinear wave structures at supersonic speed, subsonic speed, and sonic speed through phase portraits of the dynamical system corresponding to nonlinear DIA wave structures.</p>

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Arbitrary Amplitude DIA Nonlinear Wave Structures at \(M=M_{c}\) in an Unmagnetized Five Components Plasma

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Paltu Halder,
  • Sandip Dalui,
  • Sankirtan Sardar,
  • Anup Bandyopadhyay

摘要

In this problem, we have investigated the arbitrary amplitude dust-ion acoustic (DIA) nonlinear wave structures at the acoustic (sonic) speed \(M=M_{c}\) M = M c in a collisionless unmagnetized five components electron-positron-ion-dusty (e-p-i-d) plasma system of Halder et al. (Plasma Phys. Rep. 49, 467–483, 2023). The present plasma system confirms the existence of negative potential solitary waves (NPSWs), positive potential solitary waves (PPSWs), and negative potential double layers (NPDLs) at the acoustic speed \(M=M_{c}\) M = M c . We have studied the effect of different parameters of the system on the amplitude of PPSWs, NPSWs, and NPDLs at \(M=M_{c}\) M = M c . We have also analyzed the difference between various DIA nonlinear wave structures at supersonic speed, subsonic speed, and sonic speed through phase portraits of the dynamical system corresponding to nonlinear DIA wave structures.