Soliton stability versus collapse

被引：38

作者：

Bergé, L ^{[1
]}

机构：

[1] CEA, DAM Ile de France, F-91680 Bruyeres Le Chatel, France

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.62.R3071

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Nonlinear Schrodinger equations with positive potentials are investigated. Stability of their stationary ground states is confronted with properties of nonlinear blow-up. The stability condition for these soliton modes is shown to involve restrictions on the potential slope, which do not forbid the collapse. We prove that stable ground states must have a power integral below their counterpart with no potential.

引用

页码：R3071 / R3074

页数：4

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