Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-12-01

Journal: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Included Journals: SCIE、Scopus

Volume: 9

Issue: 8

ISSN: 0219-8878

Key Words: Lie symmetry; differential-difference equation; differential form method; Kac-Moody-Virasoro algebra

Abstract: Based on the extended Harrison and Estabrook's differential form method, we obtain the Lie symmetries of two (2+1)-dimensional Toda-like lattices from two different sets of differential forms, respectively. Moreover it is shown that, for each lattice, the determining equations for the two sets give the same symmetries; and the set of differential forms for the lower-dimensional space can make the computation for finding symmetries simpler than the other.