Renormalization group analysis for singularities in the wave beam self-focusing problem

被引：7
作者：
Kovalev, VF [1 ]
机构：
[1] RAS, Inst Math Modeling, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 119卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1007/BF02557382
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A singular solution of the boundary value problem for the system of equations describing wave beam self-focusing is investigated by constructing renormalization group symmetries. New analytic expressions are found that characterize the spatial evolution of a beam with an arbitrary initial profile in a medium with cubic nonlinearity. The behavior of a Gaussian beam is thoroughly analyzed up to the moment the solution singularity is formed, and a hypothesis is proposed for describing the solution structure after the singularity occurs.
引用
收藏
页码：719 / 730
页数：12
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