Approximation of the Korteweg-de Vries equation by the nonlinear Schrodinger equation

被引：25

作者：

Schneider, G ^{[1
]}

机构：

[1] Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 147卷 / 02期

关键词：

D O I：

10.1006/jdeq.1998.3417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1968 Zakharov derived the Nonlinear Schrodinger equation as an approximation equation for the water wave problem. It is still an open problem if there are really solutions of the water wave problem which can be approximated by the solutions of the Nonlinear Schrodinger equation. In answering this question we made some progress for a model problem-the approximation of the Korteweg-de Vries equation by the Nonlinear Schrodinger equation. (C) 1998 Academic Press.

引用

页码：333 / 354

页数：22

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