Abstract
This paper is devoted to the study of the Cauchy problem for the coupled system of the Schrödinger-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 εZ +), 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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Supported by the National Natural Science Foundation of China and the NSF of China Academy of Engineering Physics
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Guo, B., Miao, C. Well-posedness of the cauchy problem for the coupled system of the Schrödinger-KdV equations. Acta Mathematica Sinica 15, 215–224 (1999). https://doi.org/10.1007/BF02650665
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DOI: https://doi.org/10.1007/BF02650665