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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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Physics of Alfvén waves and energetic particles in burning plasmas

TL;DR: In this article, the interactions of these energetic particles with linear and nonlinear Alfve'n waves generated in the magnetized plasma are reviewed, and the interaction of the alpha particles produced in the nuclear reactions is discussed.
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Nonlinear behavior and turbulence spectra of drift waves and Rossby waves

TL;DR: In this paper, a three-wave decay process derived from the model equation applicable to both drift wave turbulence and Rossby wave turbulence in an atmospheric pressure system is studied based on a three wave decay process.
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Nonlinear gyrokinetic equations

TL;DR: In this paper, the authors derived nonlinear gyrokinetic equations from a systematic Hamiltonian theory, which employs Lie transforms and a noncanonical perturbation theory first used by Littlejohn for the simpler problem of asymptotically small gyroradius.
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A fully nonlinear characteristic method for gyrokinetic simulation

TL;DR: In this paper, a new scheme that evolves the perturbed part of the distribution function along a set of characteristics that solve the fully nonlinear gyrokinetic equations is presented.
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Self-organization processes in continuous media

TL;DR: In this article, the authors consider the dynamical behaviour of dissipative continuous media which can be described by nonlinear partial differential equations having more than two non-trivial conserved quantities in the absence of dissipation.