INSTABILITY OF STANDING WAVES TO THE INHOMOGENEOUS NONLINEAR SCHRODINGER EQUATION WITH HARMONIC POTENTIAL

被引：2
|
作者：
Chen, Jianqing [1 ]
Liu, Yue [2 ]
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China
[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2008年 / 52卷 / 04期
关键词：
D O I：
10.1215/ijm/1258554361
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the instability of standing-wave solutions e(i omega t)phi(omega)(x) to the inhomogeneous nonlinear Schrodinger equation i phi(t) = -Delta phi + vertical bar x vertical bar(2)phi - vertical bar x vertical bar(b)vertical bar phi vertical bar(p-1)phi, x is an element of R(N), where b > 0 and phi(omega) is a ground-state solution. The results of the instability of standing-wave solutions reveal a balance between the frequency omega of wave and the power of nonlinearity p for any fixed b > 0.
引用
收藏
页码：1259 / 1276
页数：18
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