<p>The cylindrical dust-acoustic (DA) solitary structures in an unmagnetized four-component dusty plasma medium whose constituents are negatively charged dust particles, electrons, ions, and positrons are investigated. A set of equations has been considered to describe the plasma system in a cylindrical geometry and reduced those equations into a nonlinear partial differential equation so-called <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2024_1668_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\((3+1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-dimensional cylindrical Kadomstev-Petviashvili (cKP) equation with the help of reductive perturbation method. The analytical solitary wave solution of the cKP equation has been reported. The existence and non-existence of solitary wave solution with the plasma parameters have been discussed. The effects of the dust grains and the nonthermality of other particles on the amplitude and width of solitary waves are examined. It is found that our plasma system supports both the positive and negative solitary waves. These results may improve our understanding of DA solitary structures in space and laboratory plasma devices in non-thermal dusty plasma medium.</p>

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(\(3+1\))-Dimensional Cylindrical Dust-Acoustic Solitary Waves in Four Component Nonthermal Dusty Plasma

  • N. Alam,
  • A. Mannan,
  • S. Tarofder,
  • A A Mamun

摘要

The cylindrical dust-acoustic (DA) solitary structures in an unmagnetized four-component dusty plasma medium whose constituents are negatively charged dust particles, electrons, ions, and positrons are investigated. A set of equations has been considered to describe the plasma system in a cylindrical geometry and reduced those equations into a nonlinear partial differential equation so-called \((3+1)\) ( 3 + 1 ) -dimensional cylindrical Kadomstev-Petviashvili (cKP) equation with the help of reductive perturbation method. The analytical solitary wave solution of the cKP equation has been reported. The existence and non-existence of solitary wave solution with the plasma parameters have been discussed. The effects of the dust grains and the nonthermality of other particles on the amplitude and width of solitary waves are examined. It is found that our plasma system supports both the positive and negative solitary waves. These results may improve our understanding of DA solitary structures in space and laboratory plasma devices in non-thermal dusty plasma medium.