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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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The multi-scale nature of the solar wind

TL;DR: In this article, the authors review the past and present research into the multi-scale nature of the solar wind based on in-situ spacecraft measurements and plasma theory and emphasize that couplings of processes across scales are important for the global dynamics and thermodynamics of solar wind.
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Anomalous transport produced by kinetic Alfvén wave turbulence

TL;DR: Alfven wave turbulence is shown to produce anomalous transport phenomena if the wavelength in the direction perpendicular to the magnetic field is comparable to the ion gyroradius.
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Ion Acoustic Solitons in a Plasma: A Review of their Experimental Properties and Related Theories

M Q Tran
- 01 Sep 1979 - 
TL;DR: A review of experiments and theories on ion acoustic solitons is presented in this paper, taking into account quadratic nonlinearity in the fluid equations leads to the Korteweg-de Vries (KdV) equation which predicts the existence of soliton, however, the experimental datas on the dependency of Mach number vs soliton amplitude clearly shows a discrepancy with the prediction of the KdV equation.
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Wave turbulence in incompressible Hall MHD

TL;DR: In this paper, the authors investigate the steepening of the magnetic fluctuation power law spectra observed in the inner solar wind for frequencies higher than 0.5 Hz and derive the general wave kinetic equations; they describe the nonlinear dynamics of weakly interacting waves.
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Nonlinear evolution of parallel‐propagating hydromagnetic waves

TL;DR: In this paper, the nonlinear evolution of plane hydromagnetic fluctuations propagating along the unperturbed magnetic field direction is considered and explicit expressions are derived for the asymptotic state and for the characteristic lines which describe the evolution toward that state.