Theory of singular vortex solutions of the nonlinear Schrodinger equation

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article

Fibich, Gadi¹  Gavish, Nir¹ 

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

关键词: Nonlinear Schrodinger equation;    Vortex;    Supercritical;    Critical;    Self-similar solution;    Singularity;    Collapse;    Ring profile;    Blowup rate;    Critical power;    Power concentration;   

DOI  :  10.1016/j.physd.2008.04.018

来源: Elsevier

【 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.

【 授权许可】

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