On the blow-up threshold for weakly coupled nonlinear Schrodinger equations

被引：36
|
作者：
Fanelli, Luca [1 ]
Montefusco, Eugenio [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartmento Matemat, I-00185 Rome, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 47期
关键词：
D O I：
10.1088/1751-8113/40/47/007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the Cauchy problem for a system of two coupled nonlinear focusing Schrodinger equations arising in nonlinear optics. We discuss when the solutions are global in time or blow-up in finite time. Some results, in dependence of the data of the problem, are proved; in particular we prove, for suitable values of the parameters, that the blow-up threshold ( if the nonlinearity has the critical growth) is a universal constant.
引用
收藏
页码：14139 / 14150
页数：12
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