Self-focusing on bounded domains

被引：42

作者：

Fibich, G ^{[1
]}

Merle, F

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Inst Univ France, F-95302 Pontoise, Cergy Pontoise, France

[3] Univ Cergy Pontoise, F-95302 Pontoise, Cergy Pontoise, France

来源：

PHYSICA D | 2001年 / 155卷 / 1-2期

关键词：

nonlinear Schrodinger equation; singularity formation; waveguide; stability; collapse; blowup; hollow fiber; critical power;

D O I：

10.1016/S0167-2789(01)00249-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The critical nonlinear Schrodinger equation (NLS) on bounded domains models the propagation of cw laser beams in hollow-core fibers. Unlike the NLS on unbounded domains which models propagation in bulk media, the ground-state waveguide solutions are stable and the condition of critical power for singularity formation is generically sharp. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：132 / 158

页数：27