THE WKB METHOD AND GEOMETRIC INSTABILITY FOR NONLINEAR SCHRODINGER EQUATIONS ON SURFACES

被引：6

作者：

Thomann, Laurent ^{[1
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2008年 / 136卷 / 02期

关键词：

nonlinear Schrodinger equation; instability; quasimode;

D O I：

10.24033/bsmf.2553

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we are interested in constructing WKB approximations for the nonlinear cubic Schrodinger equation on a Riemannian surface which has a stable geodesic. These approximate solutions will lead to some instability properties of the equation.

引用

页码：167 / 193

页数：27

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