Symmetries of the discrete nonlinear Schrodinger equation

被引：6
|
作者：
Heredero, RH [1 ]
Levi, D
Winternitz, P
机构：
[1] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain
[2] Univ Roma Tre, Dipartimento Fis Edoardo Amaldi, Rome, Italy
[3] Ist Nazl Fis Nucl, Rome, Italy
[4] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2001年 / 127卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1023/A:1010439432232
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Lie algebra L(h) of point symmetries of a discrete analogue of the nonlinear Schrodinger equation (NLS) is described. In the continuous limit, the discrete equation is transformed into the NLS, while the structure of the Lie algebra changes: a contraction occurs with the lattice spacing h as the contraction parameter. A live-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the hire-dimensional point symmetry algebra of the NLS.
引用
收藏
页码：729 / 737
页数：9
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