The Blow-Up of Discrete Solution for NLS Equation with Potential

被引：0
|
作者：
Liang, Zong-qi [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
QUANTITATIVE LOGIC AND SOFT COMPUTING 2010, VOL 2 | 2010年 / 82卷
关键词：
Nonlinear schrodinger equation; blow-up; spectral method; BOSE-EINSTEIN CONDENSATION; NONLINEAR SCHRODINGER;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we consider the blow-up for initial and Dirichlet boundary-value problem of a class of nonlinear Schrodinger equations with potential. We establish a conservative difference spectral approximation and propose sufficient conditions for the blow-up of approximation as well as the maximum tine interval of existence of the solution. Finally it is proved that the spatial location of the radially symmetric blow-up solution is the origin.
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页码：779 / 789
页数：11
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