
SYMMETRIES OF THE(2 +1) DIMENSIONAL DISCRETE Toda EQUATION
Author(s) -
钱贤民,
楼森岳
Publication year - 1996
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.45.721
Subject(s) - homogeneous space , subalgebra , symmetry (geometry) , algebra over a field , symmetry group , mathematical physics , discrete symmetry , pure mathematics , infinite set , physics , set (abstract data type) , mathematics , computer science , geometry , programming language
We extend the formal series symmetry theory proposed in Refs. [1-4] to the (2 + 1) dimensional discrete Toda equation. Two sets of infinitely many symmetries of this equation are found. Every one set of symmetries constitute a generalized W∞ algebra which contains the usual W∞ algebra as its subalgebra.