TY - JOUR
T1 - The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization
AU - Lu Li 
JO - Journal of Partial Differential Equations
VL - 1
SP - 11
EP - 20
PY - 2000
DA - 2000/02
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5492.html
KW - LCZ hierarchy
KW - Hamiltonian structure
KW - the higher-order constraint condition
KW - Hamiltonian systems
AB -  In this paper, we first search for the Hamiltonian structure of LCZ hierarchy by use of a trace identity. Then we determine a higher-order constraint condition between the potentials and the eigenfunctions of the LCZ spectral prob lem and under this constraint condition, the Lax pairs of LCZ hierarchy are all nonlinearized into the finite-dimensional integrable Hamiltonian systems in Liouville sense.