Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity. The Liouville integrability of the integrable coupling is demonstrated. Finally, the discrete integrable coupling system with self-consistent sources is deduced.
"A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/416472