NON-SELF-SIMILAR COLLAPSING SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION AT THE CRITICAL DIMENSION

被引：13

作者：

BERGE, L ^{[1
]}

PESME, D ^{[1
]}

机构：

[1] ECOLE POLYTECH,CTR PHYS THEOR,F-91128 PALAISEAU,FRANCE

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.48.R684

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：

The dynamical problem of a spherically symmetric wave collapse is investigated in the framework of the nonlinear Schrodinger equation defined at the critical dimension. Collapsing solutions are shown to remain self-similar for spatial coordinates below a cutoff radius only, and to exhibit at larger distances a non-self-similar tail whose expression is explicitly computed. A rapid method used to study the time behavior and the stability of the contraction rate associated with these singular solutions is also derived.

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页码：R684 / R687

页数：4

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