A Discrete Spectral Problem and Related Hierarchy of Discrete Hamiltonian Lattice Equations

摘要

＜正＞ Staring from a discrete matrix spectral problem,a hierarchy of lattice soliton equations is presentedthough discrete zero curvature representation.The resulting lattice soliton equations possess non-local Lax pairs.TheHamiltonian structures are established for the resulting hierarchy by the discrete trace identity.Liouville integrabilityof resulting hierarchy is demonstrated.