<p>Dynamics of multi-solitons are investigated in the lower ionosphere of Venus at an altitude ranging from 200 to 1000 km within the framework of nonplanar geometry. The plasma environment of the lower ionosphere of Venus is composed of mobile <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(O^+\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H^+\)</EquationSource> </InlineEquation> ions with kappa distributed electrons. The reductive perturbation method (RPM) is adopted to establish the nonplanar cylindrical Korteweg-de Vries (KdV) equation. Using the Darboux transformation (DT), one- and two-soliton solutions of the nonplanar cylindrical KdV equation are obtained. The influence of the parameters, spectral index (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\kappa \)</EquationSource> </InlineEquation>) and the unperturbed number density ratio (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> </InlineEquation>) on these solutions is analysed. It is observed that an enhancement in both the parameters contributes to a rise in amplitude and width of both one- and two-soliton structures. The acquired results offer significant understandings into the behaviour of one- and two-soliton solutions in the lower ionosphere of Venus within the framework of nonplanar geometry. The study of multi-soliton of the cylindrical KdV equation in plasma is reported for the first time in the literature to the best of our knowledge.</p>

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Dynamics of multi-soliton in the lower ionosphere of Venus within the framework of nonplanar geometry

  • Kusum Chettri,
  • Nanda Kanan Pal,
  • Prasanta Chatterjee,
  • Asit Saha

摘要

Dynamics of multi-solitons are investigated in the lower ionosphere of Venus at an altitude ranging from 200 to 1000 km within the framework of nonplanar geometry. The plasma environment of the lower ionosphere of Venus is composed of mobile \(O^+\) and \(H^+\) ions with kappa distributed electrons. The reductive perturbation method (RPM) is adopted to establish the nonplanar cylindrical Korteweg-de Vries (KdV) equation. Using the Darboux transformation (DT), one- and two-soliton solutions of the nonplanar cylindrical KdV equation are obtained. The influence of the parameters, spectral index ( \(\kappa \) ) and the unperturbed number density ratio ( \(\gamma \) ) on these solutions is analysed. It is observed that an enhancement in both the parameters contributes to a rise in amplitude and width of both one- and two-soliton structures. The acquired results offer significant understandings into the behaviour of one- and two-soliton solutions in the lower ionosphere of Venus within the framework of nonplanar geometry. The study of multi-soliton of the cylindrical KdV equation in plasma is reported for the first time in the literature to the best of our knowledge.