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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

Resonant parametric excitations driven by lower‐hybrid fields

E. Villalón
- 01 Nov 1980 - 
TL;DR: In this article, the stabilization of resonant parametric excitation due to a linear mismatch in wavenumbers and to the Landau damping rates of the decay waves is analyzed, assuming that the magnitude of the pump field is constant in time and in the spatial region where the resonant interaction takes place.
Journal ArticleDOI

Parametric Instabilities of Parallel Propagating Circularly Polarized Alfvén Waves: One-Dimensional Hybrid Simulations*

TL;DR: In this article, the parametric instabilities of the Alfven waves with a spectrum in a low-beta plasma were analyzed by performing one-dimensional (1-D) hybrid simulations.
Journal ArticleDOI

Spectrum of turbulent ion acoustic waves in a magnetic field

TL;DR: The perturbed orbit theory and the superposition principle of dressed particles are used to obtain the saturated spectrum of turbulent ion acoustic waves, driven by an electron current along an external magnetic field in a plasma as mentioned in this paper.
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Nonlinear decay of dispersive Alfvén wave and solar coronal heating

TL;DR: In this article, a simple description of three-wave decay interactions involving a pump dispersive Alfven wave (DAW), decay DAW and decay slow wave (SW) in a uniform magnetized plasma is presented.
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Modeling of active and passive nonlinear metamaterials

TL;DR: In this paper, the authors developed general results for nonlinear metamaterials based on simple circuit models that reflect the elementary nonlinear behavior of the medium and showed that the medium can exhibit a phase transition to a synchronized state and derive conditions for the transformation based on a widely used multiple time scale approach that leads to the well-known Complex Ginzburg-Landau equation.