ON A CLASS OF HOMOGENEOUS NONLINEAR SCHRODINGER-EQUATIONS

被引：40

作者：

AUBERSON, G

SABATIER, PC

机构：

[1] Laboratoire de Physique Mathématique et Théorique, URA-CNRS 768, Université de Montpellier II

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 08期

关键词：

D O I：

10.1063/1.530840

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of homogeneous, norm conserving, nonlinear wave equations of the Schrodinger type is studied. It is shown that those equations which derive from a Lagrangian can be linearized, but have no regular confined solutions, whereas the equations which cannot be obtained from a local Lagrangian do admit such confined solutions. The latter however are unstable against small perturbations of the initial data.

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页码：4028 / 4041

页数：14

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