Higher-Order Corrections to Earth’s Ionosphere Shocks

Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As t...

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Published inCommunications in theoretical physics Vol. 67; no. 1; pp. 90 - 96
Main Author H.G.Abdelwahed E.K.El-Shewy
Format Journal Article
LanguageEnglish
Published 2017
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ISSN0253-6102
DOI10.1088/0253-6102/67/1/90

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Abstract Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging,its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive- negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive（negative） ions η1 and η2 on the electrostatic shocks in Earth’s ionosphere are also argued.
AbstractList Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging,its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive- negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive（negative） ions η1 and η2 on the electrostatic shocks in Earth’s ionosphere are also argued.
Author H.G.Abdelwahed E.K.El-Shewy
AuthorAffiliation Plasma Technology and Material Science Unit （PTMSU）, Physics Department, College of Science and Humanitarian Studies, Prince Sattam bin Abdulaziz University, Alkharj, KSA Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
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Notes nonthermal electrons;ion shock waves;Burgers equation;Burger type equation;renormalization method;higher-order dissipation
11-2592/O3
Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging,its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive- negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive（negative） ions η1 and η2 on the electrostatic shocks in Earth’s ionosphere are also argued.
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