TY - JOUR
T1 - Two explicit realizations of a Lie algebra
AU - Zhang, Yufeng
AU - Tam, Honwah
N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009/9/15
Y1 - 2009/9/15
N2 - We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A2 and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure.
AB - We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A2 and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure.
UR - http://www.scopus.com/inward/record.url?scp=67649359928&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2008.08.030
DO - 10.1016/j.chaos.2008.08.030
M3 - Journal article
AN - SCOPUS:67649359928
SN - 0960-0779
VL - 41
SP - 2241
EP - 2245
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 5
ER -