Hamiltonian Structures and Integrability for a Discrete Coupled KdV-Type Equation Hierarchy

Coupled Korteweg-de Vries (KdV) systems have many important physical applications. By considering a 4×4 spectral problem, we derive a discrete coupled KdV-type equation hierarchy. Our hierarchy includes the coupled Volterra system proposed by Lou et al.(e-print arXiv:0711.0420) as the first member which is a discrete version of the coupled KdV equation. We also investigate the integrability in the Liouville sense and the multi-Hamiltonian structures for the obtained hierarchy.