Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-02-01

Journal: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Included Journals: SCIE

Volume: 8

Issue: 1

Page Number: 79-85

ISSN: 0219-8878

Key Words: Lie symmetry; differential-difference equation; geometric approach; Kac-Moody-Virasoro algebra

Abstract: We obtain the Lie symmetries of two (2+1)-dimensional differential-difference equations based on the extended Harrison and Estabrook's geometric approach that is extended from the continuous differential equations to the differential-difference equations. Moreover, it is shown that both of the two equations possess a Kac-Moody-Virasoro symmetry algebra.