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.
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页码：167 / 193
页数：27
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