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The problem of the nonlinear interaction of two cold interpenetrating electron and ion streams is treated. By seeking traveling-wave-type solutions to the nonlinear two-fluid system of equations, an amplitude dependent dispersion relation is obtained. An examination of the solutions and the dispersion relation indicates that there is a range of values for k, where the two-stream stability levels off before the onset of overtaking.
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J. P. Freidberg (1965) studied this question.
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