Abstract
By means of a Hermite-Hermite expansion of the single-particle distribution function, the one-dimensional Vlasov equation is solved for counterstreaming plasmas for several inverse plasma frequencies; all of the nonlinear terms are retained. From an analysis of the electric fields generated by the plasma motion, the natural resonant frequencies are deduced for several initial conditions. The frequencies found in the analysis are not harmonically related, and the deduced dispersion relation is in agreement with previous theoretical predictions. Also, it is shown that a coherent electric field cannot be maintained over large distances.
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