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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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Whistler envelope solitons. II. Interaction with non-relativistic electron beams in plasmas with density inhomogeneities

TL;DR: In this paper, the self-consistent interactions between whistler envelope solitons and electron beams in inhomogeneous plasmas, using a Hamiltonian model of waveparticle interaction where nonlinear equations describing the dynamics of whistler and ion acoustic waves and including a beam current term are coupled with Newton equations.
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Revision and Test of the Quasilinear Theory

Thomas Burns, +1 more
- 01 Jan 1972 - 
TL;DR: In this paper, the quasilinear theory is revised analytically and its consequences are tested by a numerical simulation for a one-dimensional periodic electron plasma with discrete electrostatic modes.
Journal ArticleDOI

Saturation of drift instabilities by electron dynamics

TL;DR: In this paper, an analytical explanation for phenomena observed in gyrokinetic particle simulations used to study the nonlinear evolution of the universal instability is provided, which is related to the deactivation of the instability mechanism, leading to oscillations of the perturbation amplitude around a nonzero saturated level.
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A new decay channel for compressional Alfvén waves in plasmas

TL;DR: In this article, a wave decay channel involving nonlinear interactions between a compressional Alfv´en wave, a kinetic Alfv'en wave and a modified ion sound wave in a magnetized plasma is presented.
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Weak cubic Langmuir turbulence

P. J. Hansen, +1 more
- 01 Oct 1983 - 
TL;DR: The cubically nonlinear Schroedinger equation model of Langmuir turbulence is solved in the weak turbulence limit in this article, where steady state power-law solutions for the energy spectra are found in arbitrary dimensionality.