SYMMETRIES AND CONDITIONAL SYMMETRIES OF DIFFERENTIAL-DIFFERENCE EQUATIONS

被引：108
|
作者：
LEVI, D
WINTERNITZ, P
机构：
[1] INFN,SEZ ROMA,ROME,ITALY
[2] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 08期
关键词：
D O I：
10.1063/1.530054
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Two different methods of finding Lie point symmetries of differential-difference equations are presented and applied to the two-dimensional Toda lattice. Continuous symmetries are combined with discrete ones to obtain various reductions to lower dimensional equations, in particular, to differential equations of the delay type. The concept of conditional symmetries is extended from purely differential to differential-difference equations and shown to incorporate Backlund transformations.
引用
收藏
页码：3713 / 3730
页数：18
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