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The mode coupling equations for Langmuir and ion acoustic waves are derived including an external electric field E ext (t), nonlinear ion terms. Landau damping, and (turbulent) ion viscosity. A numerical scheme for integrating these equations shows excellent conservation of invariants and of stationary solutions for E ext (t)=0 and zero dissipation. Numerical solutions show (a) a transient solitary wave structure ('soliton flash') 65, (b) a turbulent quasi-stationary state in which ions are heated predominantly, and (c) two kinds of relaxation oscillations depending upon the ion viscosity. Comparison with recent experiments shows qualitative agreement.
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Elsässer et al. (1977) studied this question.
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