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Indexed by:期刊论文

Date of Publication:2012-12-01

Journal:INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Included Journals:Scopus、SCIE

Volume:9

Issue:8

ISSN No.: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.