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Automodulation of ion oscillation mode is investigated by applying the reductive perturbation theory to the fluid equation of a plasma composed of cold ions and isothermal electrons. It is shown that an oscillatory solution of the Korteweg-de Vries equation in the small wave number region satisfies a small wave number limit of the nonlinear Schrödinger type equation obtained in the finite wave number region.
Shimizu et al. (Fri,) studied this question.
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