Abstract
This paper is devoted to the study of the Cauchy problem for the coupled system of the Schrodinger-KdV equations which describes the nonlinear dynamics of the one-dimensional Langmuir and ion-acoustic waves. Global well-posedness of the problem is established in the spaceH κ ×H κ (κ eZ +), the first and second components of which correspond to the electric field of the Langmuir oscillations and the low-frequency density perturbation respectively.
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