Hamiltonian Forms for a Hierarchy of Discrete Integrable Coupling Systems
Abstract
A semi-direct sum of two Lie algebras of four-by-four matrices is presented, and a discrete four-by-four matrix spectral problem is introduced. A hierarchy of discrete integrable coupling systems is derived. The obtained integrable coupling systems are all written in their Hamiltonian forms by the discrete variational identity. Finally, we prove that the lattice equations in the obtained integrable coupling systems are all Liouville integrable discrete Hamiltonian systems.
- Publication:
-
Communications in Theoretical Physics
- Pub Date:
- December 2008
- DOI:
- 10.1088/0253-6102/50/6/03
- Bibcode:
- 2008CoTPh..50.1269X