Published September 15, 2009 | Version v1
Journal article

Some New Lie Symmetry Groups of Differential-Difference Equations Obtained from a Simple Direct Method

Creators

  • 1. School of Mathematics and Computational Sciences, China University of Petroleum (East China), Dongying 257061 (China)

Description

In this paper, based on the symbolic computing system Maple, the direct method for Lie symmetry groups presented by Sen-Yue Lou [J. Phys. A: Math. Gen. 38 (2005) L129] is extended from the continuous differential equations to the differential-difference equations. With the extended method, we study the well-known differential-difference KP equation, KZ equation and (2+1)-dimensional ANNV system, and both the Lie point symmetry groups and the non-Lie symmetry groups are obtained.

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/52/3/01

Additional details

Identifiers

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
52
Journal Issue
3
Journal Page Range
p. 385-388
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42083921
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
DIFFERENTIAL EQUATIONS; GROUP THEORY; LIE GROUPS; MATHEMATICAL LOGIC; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
EQUATIONS; MATHEMATICS; SYMMETRY GROUPS