TY - JOUR
T1 - An integrable Poisson map generated from the eigenvalue problem of the Lotka-Volterra hierarchy
AU - Wu, Yong-Tang
AU - Wang, Hongye
AU - Du, Dianlou
N1 - Publisher copyright:
Published under licence by IOP Publishing Ltd
PY - 2002/5/3
Y1 - 2002/5/3
N2 - A 3×3 discrete eigenvalue problem associated with the Lotka-Volterra hierarchy is studied and the corresponding nonlinearized one, an integrable Poisson map with a Lie-Poisson structure, is also presented. Moreover, a 2×2 nonlinearized eigenvalue problem, which also begets the Lotka-Volterra hierarchy, is proved to be a reduction of the Poisson map on the leaves of the symplectic foliation.
AB - A 3×3 discrete eigenvalue problem associated with the Lotka-Volterra hierarchy is studied and the corresponding nonlinearized one, an integrable Poisson map with a Lie-Poisson structure, is also presented. Moreover, a 2×2 nonlinearized eigenvalue problem, which also begets the Lotka-Volterra hierarchy, is proved to be a reduction of the Poisson map on the leaves of the symplectic foliation.
UR - http://www.scopus.com/inward/record.url?scp=0037013171&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/35/17/311
DO - 10.1088/0305-4470/35/17/311
M3 - Journal article
AN - SCOPUS:0037013171
SN - 0305-4470
VL - 35
SP - 3971
EP - 3984
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 17
ER -