Weak Nonllinear Magneto-Acoustic Waves in a Cold Plasma in the Presence of Effective Electron-Ion Collisions

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概要

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• Nonlinear perturbation method is applied to describe the behaviour of unsteaby magneto-acoustic waves of small but finite amplitude propagating in a cold plasma in the presence of effective electron-ion collisions. It is shown under an assumption of small effective collision frequency that the original system of equations can be reduced to a single nonlinear equation which has a combined form of the Korteweg-de Vries and the Burgers equations. The dispersion term is just the same as that of collisionless case, whereas the dissipation term is found to be proportional to the magnetic viscosity. A qualitative discussion is given concerning the steady solutions of this equation.

• 社団法人日本物理学会の論文
• 1970-05-05

著者

• Kawahara Takuji

  Research Institute For Mathematical Sciences Kyoto University

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• Weak Nonllinear Magneto-Acoustic Waves in a Cold Plasma in the Presence of Effective Electron-Ion Collisions
• Oscillatory Solitary Waves in Dispersive Media
• Oblique Nonlinear Hydromagnetic Waves in a Collision-Free Plasma with Isothermal Electron Pressure
• Derivative-Expansion Method for Nonlinear Waves on a Liquid Layer of Slowly Varying Depth
• Nonlinear Self-Modulation of Capillary-Gravity Waves on Liquid Layer
• The Derivative-Expansion Method and Nonlinear Dispersive Waves

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