Asymptotic Method and Nonlinear Behaviors of Waves in Plasma
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概要
- 論文の詳細を見る
Nonlinear behaviors of monochromatic traveling waves are discussed by the use of the asymptotic method of Bogoliubov and Mitropolsky. The wave is assumed to be stationary in the first approximation and nonlinear interactions are taken into account only among the wave under consideration and its harmonics. It is shown that two cases should be distinguished according as the frequency of the wave in the first approximation is given by a simple root or a double root of the dispersion relation. The dominant corrections to the frequency and the growth rate due to nonlinearity are of the second order with respect to the amplitude in the former case, but is of the first order in the latter case. Characteristic behaviors of the wave in the latter case are studied by discussing a model equation and a special case of two beam instability.
- 核融合科学研究所の論文
著者
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Watanabe Tsuguhiro
Research Information Center Institute Of Plasma Physics Nagoya University
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Midzuno Yukio
Reseach Information Center Institute Of Plasma Physics Nagoya University
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