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

页码：1259 / 1276

页数：18

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