The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization
Authors
Lu Li
Keywords:
LCZ hierarchy;Hamiltonian structure;the higher-order constraint condition;Hamiltonian systems
Abstract
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.