On Instability for the Quintic Nonlinear Schrodinger Equation of Some Approximate Periodic Solutions

被引：0

作者：

Cuccagna, Scipio ^{[1
]}

Marzuola, Jeremy L. ^{[2
]}

机构：

[1] Univ Trieste, Dept Math & Geosci, I-34127 Trieste, Italy

[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2012年 / 61卷 / 06期

关键词：

SYMMETRY-BREAKING BIFURCATION; ASYMPTOTIC STABILITY; GROUND-STATES; STANDING WAVES; ENERGY SPACE; NLS; SCATTERING; TIME;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Fermi Golden Rule analysis developed in [CM], we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bound states for a quintic nonlinear Schrodinger operator with symmetric potential. This goes in the direction of proving that the approximate periodic solutions for the cubic Nonlinear Schrodinger Equation (NLSE) with symmetric potential in [MW] do not persist in the comparable quintic NLSE.

引用

页码：2053 / 2083

页数：31

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