On the exact solution of (2+1)-dimensional cubic nonlinear Schrodinger (NLS) equation

被引：10
|
作者：
Saied, EA [1 ]
El-Rahman, RGA [1 ]
Ghonamy, MI [1 ]
机构：
[1] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 24期
关键词：
D O I：
10.1088/0305-4470/36/24/312
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, symmetry reductions for a cubic nonlinear Schrodinger (NLS) equation to complex ordinary differential equations are presented. These are obtained by means of Lie's method of infinitesimal transformation groups. It is shown that ten types of-subgroups of the symmetry group lead, via symmetry reduction, to ordinary differential equations. These equations are solved and the similarity solutions are obtained.
引用
收藏
页码：6751 / 6770
页数：20
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