A K Nekrasov 1975 Plasma Phys. 17 841 doi:10.1088/0032-1028/17/11/001
A K Nekrasov
Show affiliationsA non-linear equation is derived for an individual mode of electrostatic oscillations of small but finite amplitude in a plasma in a homogeneous magnetic field. The Larmor radius is assumed arbitrary. The method is based on a solution of the transport equation by perturbation theory to terms of third order inclusively. As examples, the non-linear evolution of the anisotropic, loss-cone and Dory-Guest-Harris instabilities of a non-equilibrium plasma is considered near the stability boundary of the ion cyclotron oscillations. It is shown that non-linearity (self-influence) stabilizes these instabilities. The typical maximal values of the amplitude of stable non-linear oscillations are found.
52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves)
Issue 11 (November 1975)
A K Nekrasov 1975 Plasma Phys. 17 841
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