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Indexed by:期刊论文

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 No.: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.