Well-posedness of the Cauchy problem for the coupled system of the Schrodinger-KdV equations

被引：14

作者：

Guo, BL ^{[1
]}

Miao, CX ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 1999年 / 15卷 / 02期

关键词：

Cauchy problem; Schrodinger-KdV equations; well-posedness;

D O I：

10.1007/BF02650665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 H-k x H-k (k is an element of Z(+)), the first and second components of which correspond to the electric field of the Langmuir oscillations and the low-frequency density perturbation respectively.

引用

页码：215 / 224

页数：10

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