| 耦合Schrdinger-KdV方程组Cauchy问题的适定性 |
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| 引用本文： | 郭柏灵,苗长兴.耦合Schrdinger-KdV方程组Cauchy问题的适定性[J].数学学报,1998,41(6):0. |
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| 作者姓名： | 郭柏灵 苗长兴 |
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| 作者单位： | 北京应用物理与计算数学研究所!北京8009信箱28分箱，100088，Fax：86－10－6201018，Email：js8s＠mail．iapcm．ac．cn，北京应用物理与计算数学研究所!北京8009信箱28分箱，100088，Fax：86－10－6201018，Email：js8s＠mail．iapcm．ac．cn |
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| 基金项目： | 国家自然科学基金，中国工程物理研究院基金 |
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| 摘 要： | 本文研究了耦合Schrodinger－KdV方程组的Cauchy问题，此耦合方程组刻化了一维Langmuir和离子声波相互作用的非线性动力学行为．本文建立了此问题在Hk×Hk中的整体适定性理论（k∈Z+）．
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| 关 键 词： | Cauchy问题 Schrodinger－KdV方程 适定性 |
Well-posedness of the Cauchy Problem for the Coupled System of the Schrdinger-KdV Equations |
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| Guo Boling, Miao Changxing.Well-posedness of the Cauchy Problem for the Coupled System of the Schrdinger-KdV Equations[J].Acta Mathematica Sinica,1998,41(6):0. |
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| Authors: | Guo Boling Miao Changxing |
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| Institution: | Guo Boling; Miao Changxing (Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, Chica) (Fax:86-10-6201018, Email: ja8 @mail.iapcm.ac.cn) |
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| 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 space Hk x Hk (k ∈ Z+), the first and second component of which correspond to the electric field of the Langmuir oscillations and low-frequency density perturbation respectively. |
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| Keywords: | Cauchy problem Schrodinger-KdV equations Well-posedness |
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