Oblique Nonlinear Hydromagnetic Waves in a Collision-Free Plasma with Isothermal Electron Pressure
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概要
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Hydromagnetic waves of small but finite amplitude propagating at an arbitrary angle to a magnetic field in a collision-free plasma with isothermal electron pressure are investigated on the basis of a nonlinear perturbation method. It is shown that in the lowest order of perturbation the system of the basic equations can be reduced to two types of the Korteweg-de Vries equations which describe the fast and slow magneto-acoustic waves. Another nonlinear dispersive equation can be obtained for the Alfven wave. The effect of the isothermal electron pressure on the structure of the waves is discussed in detail. Necessary conditions for the existence of the solitary waves in the plasma under consideration are also given.
- 社団法人日本物理学会の論文
- 1969-11-05
著者
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Kawahara Takuji
Research Institute For Mathematical Sciences Kyoto University
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Kamahara Takuji
Research Institute for Mathematical Sciences, Kyoto University
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