Theory of singular vortex solutions of the nonlinear Schrodinger equation

被引：19
|
作者：
Fibich, Gadi [1 ]
Gavish, Nir [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2008年 / 237卷 / 21期
关键词：
Nonlinear Schrodinger equation; Vortex; Supercritical; Critical; Self-similar solution; Singularity; Collapse; Ring profile; Blowup rate; Critical power; Power concentration;
D O I：
10.1016/j.physd.2008.04.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a systematic study of singular vortex solutions of the critical and supercritical two-dimensional nonlinear Schrodinger equation. In particular, we study the critical power for collapse and the asymptotic blowup profile of singular vortices. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2696 / 2730
页数：35
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