Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem

被引：14

作者：

Bronski, JC ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2001年 / 152卷 / 152-153期

关键词：

spectral instability; Zakharov-Shabat eigenvalue; NLS equation;

D O I：

10.1016/S0167-2789(01)00167-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some brief numerical results indicating that in the semiclassical limit the Zakharov-Shabat eigenvalue problem exhibits severe spectral instability, and that small changes in the potential can result in large changes in the spectrum. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：163 / 170

页数：8

共 18 条

[1]

ASLANYAN A, SPECTRAL INSTABILITY

[2] Numerical simulation of the semi-classical limit of the focusing nonlinear Schrodinger equation [J].