Lie Point Symmetries of Differential-Difference Equations

被引：0
|
作者：
DING Wei~1 TANG Xiao-Yan~(2
机构：
来源：
Communications in Theoretical Physics | 2004年 / 41卷 / 05期
关键词：
Lie point symmetry; differential-difference equation; Kac Moody-Virasoro algebra;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,the classical Lie group approach is extended to find some Lie point symmetries of differential-difference equations.It reveals that the obtained Lie point symmetries can constitute a Kac-Moody-Virasoro algebra.
引用
收藏
页码：645 / 648
页数：4
相关论文
共 50 条
  • [1] Lie point symmetries of differential-difference equations
    Ding, W
    Tang, XY
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (05) : 645 - 648
  • [2] Lie point symmetries of differential-difference equations
    Levi, D.
    Winternitz, P.
    Yamilov, R. I.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (29)
  • [3] On geometric approach to Lie symmetries of differential-difference equations
    Li, Hong-Jing
    Wang, Deng-Shan
    Wang, Shi-Kun
    Wu, Ke
    Zhao, Wei-Zhong
    [J]. PHYSICS LETTERS A, 2008, 372 (37) : 5878 - 5882
  • [4] Lie symmetries and their local determinacy for a class of differential-difference equations
    Jiang, ZH
    [J]. PHYSICS LETTERS A, 1998, 240 (03) : 137 - 143
  • [5] SYMMETRIES AND CONDITIONAL SYMMETRIES OF DIFFERENTIAL-DIFFERENCE EQUATIONS
    LEVI, D
    WINTERNITZ, P
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (08) : 3713 - 3730
  • [6] Lie point symmetries of difference equations and lattices
    Levi, D
    Tremblay, S
    Winternitz, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (47): : 8507 - 8523
  • [7] Generalized conditional symmetries of nonlinear differential-difference equations
    Chou, KS
    Qu, CZ
    [J]. PHYSICS LETTERS A, 2001, 280 (5-6) : 303 - 308
  • [8] MASTER SYMMETRIES FOR DIFFERENTIAL-DIFFERENCE EQUATIONS OF THE VOLTERRA TYPE
    CHERDANTSEV, IY
    YAMILOV, RI
    [J]. PHYSICA D, 1995, 87 (1-4): : 140 - 144
  • [9] Transformations, symmetries and Noether theorems for differential-difference equations
    Peng, Linyu
    Hydon, Peter E.
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 478 (2259):
  • [10] LIE SYMMETRIES OF TWO (2+1)-DIMENSIONAL DIFFERENTIAL-DIFFERENCE EQUATIONS BY GEOMETRIC APPROACH
    Lv, Na
    Mei, Jianqin
    Guo, Qilong
    Zhang, Hongqing
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (01) : 79 - 85
12345