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The effect of ion motions on the structure of nonlinear stationary electrostatic oscillations of a cold plasma is investigated. A solution is found by means of an expansion in powers of the electron-to-ion mass ratio m/M. The frequency of oscillation, which is independent of amplitude for vanishing m/M, turns out to be a decreasing function of the amplitude when the ion motions are included.
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Russel Vernon (1961) studied this question.
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