Weak Ion-Acoustic Shock Waves
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概要
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Weak nonlinear ton-acoustic waves in a plasma consisting of cold ions and warm electrons are investigated by using a nonlinear perturbation method. In the lowest order of perturbation, it is found that the system of equations for the ion-acoustic waves can be reduced to the following single nonlinear dispersive-dissipative equation: (∂u)/(∂τ)+u(∂u)/(∂ξ)+μ(∂^3u)/(∂ξ^3)-ν∂/(∂ξ)((∂u)/(∂τ)+u(∂u)/(∂ξ))=0, where u, ξ and τ are normalized velocity of ion-fluid, stretched space and time coordinates, respectively. The parameter μ is a measure of dispersion due to charge separation, whereas ν is a measure of dissipation due to electron-ion collisions. It is shown that this equation has either oscillatory (dispersion-dominant case) or quasi-monotone (dissipation-dominant case) shock wave solutions.
- 社団法人日本物理学会の論文
- 1970-10-05
著者
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Kakutani Tsunehiko
Department Of Engineering Mathematics University Of Newcastle Upon Tyne:(present Address) Department
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Kawahara Takuji
Research Institute For Mathematical Sciences Kyoto University
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