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<p>The nonlinear structures of dust-acoustic (DA) waves are investigated in an unmagnetized dusty plasma comprising regularized Kappa-distributed electrons and Maxwellian ions employing phase plane analysis. Using the traveling wave transformation, model equations are transformed to a Hamiltonian system involving electrostatic potential. The properties of fixed points and the Sagdeev pseudo-potential are examined within this plasma framework. It is found that the system supports various types of nonlinear structures, including both periodic and solitary waves. The existence and nature of these structures strongly depend on key plasma parameters, particularly the superthermal parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\kappa \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation>, the cutoff parameter <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>, and the wave velocity <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(M\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>M</mi> </math></EquationSource> </InlineEquation>. The findings presented in this study are valid for all <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\kappa &gt;0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>κ</mi> <mo>&gt;</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation> and offer valuable insights into the formation and behavior of nonlinear DA structures. These results may be particularly relevant for understanding plasma dynamics in the mesosphere, where micrometer-sized positively charged dust grains are known to exist.</p>

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Nonlinear electrostatic waves in space dusty plasmas with the regularized kappa-distributed electrons

  • 期刊论文

  • 发表日期：

    2026年1月14日

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  • M. Mehdipoor

摘要

The nonlinear structures of dust-acoustic (DA) waves are investigated in an unmagnetized dusty plasma comprising regularized Kappa-distributed electrons and Maxwellian ions employing phase plane analysis. Using the traveling wave transformation, model equations are transformed to a Hamiltonian system involving electrostatic potential. The properties of fixed points and the Sagdeev pseudo-potential are examined within this plasma framework. It is found that the system supports various types of nonlinear structures, including both periodic and solitary waves. The existence and nature of these structures strongly depend on key plasma parameters, particularly the superthermal parameter \(\kappa \) κ , the cutoff parameter \(\alpha \) α , and the wave velocity \(M\) M . The findings presented in this study are valid for all \(\kappa >0\) κ > 0 and offer valuable insights into the formation and behavior of nonlinear DA structures. These results may be particularly relevant for understanding plasma dynamics in the mesosphere, where micrometer-sized positively charged dust grains are known to exist.