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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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Self‐Consistent Calculation of an Explosive Instability

TL;DR: In this paper, the effect of an explosive instability on the plasma distribution functions is calculated for a specific initial distribution, and it is found that this change in the distribution (a) limits the possible level of field energy and (b) greatly increases the time required for the field to approach this limit compared with the explosion time calculated by ignoring the change.
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Nonlinear excitation of acoustic modes by large-amplitude Alfvén waves in a laboratory plasma.

TL;DR: The nonlinear three-wave interaction process at the heart of the parametric decay process is studied by launching counterpropagating Alfvén waves from antennas placed at either end of the Large Plasma Device.
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Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations

TL;DR: A mechanism for tuning the speed by altering the nonparaxial parameter is proposed and a novel phase-unlocking behavior due to the presence of non paraxial parameters is identified.
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Dielectric response in guiding center plasma

TL;DR: In this article, the dielectric function for a guiding center plasma is derived from the direct-interaction approximation for the special case of thermal equilibrium, the result agrees with, although it is more detailed than, an earlier calculation of Taylor.
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Vlasov-Poisson simulations of electrostatic parametric instability for localized Langmuir wave packets in the solar wind

TL;DR: In this article, the amplitude of the observed Langmuir beat-like waveforms is of the order of the effective threshold computed from the simulations, and the expected levels of associated ion acoustic density fluctuations have also been computed for comparison with observations.