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Nonlinear Plasma Theory

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The article was published on 1969-01-01 and is currently open access. It has received 1030 citations till now. The article focuses on the topics: Ion acoustic wave & Acoustic wave equation.

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Journal ArticleDOI

Parametric instabilities in a magnetized plasma

C.S. Liu, +1 more
- 01 Jan 1986 - 
TL;DR: In this article, a general formalism of parametric instabilities of electrostatic and electromagnetic waves in a magnetized plasma is presented, where the Vlasov equation has been solved in the guiding center variables, incorporating the effects of finite wave number of pump, finite Larmor radius, resonant wave-particle interaction, and diamagnetic drift.
Journal ArticleDOI

Parametric decay of circularly polarized Alfvén waves: Multidimensional simulations in periodic and open domains

TL;DR: In this article, the nonlinear evolution of monochromatic large-amplitude circularly polarized Alfven waves subject to the decay instability was studied via numerical simulations in one, two, and three spatial dimensions.
Journal ArticleDOI

Theory of parametric instability near the lower‐hybrid frequency

Miklos Porkolab
- 01 Jul 1974 - 
TL;DR: In this article, the dispersion relation for parametric instabilities near the lower hybrid frequency is derived and analyzed, and the driving mechanism for this instability is shown to be analogous to nonlinear Landau damping in perturbation theory.
Journal ArticleDOI

Nonlinear drift waves and transport in magnetized plasma

TL;DR: In this article, the intrinsic stochasticity of the particle motions is analyzed for several types of drift wave systems, and the resulting diffusivities are applied to several tokamaks.
Journal ArticleDOI

On the dominant and subdominant behavior of stimulated Raman and Brillouin scattering driven by nonuniform laser beams

TL;DR: In this paper, multidimensional fluid simulations of the growth and saturation of stimulated Brillouin (SBS) and Raman backscattering (SRS) instabilities driven by a nonuniform incident laser beam are presented.