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.
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页码：2053 / 2083
页数：31
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