Publication | Closed Access
A Hierarchy of Lax Integrable Lattice Equations, Liouville Integrability and a New Integrable Symplectic Map
48
Citations
0
References
2004
Year
Spectral TheoryHamiltonian TheoryEngineeringBacklund TransformationConservation LawsBinary Bargmann ConstraintFunctional AnalysisIntegrable SystemDiscrete Integrable SystemLiouville IntegrabilityAssociated HierarchyHamiltonian System
A discrete matrix spectral problem and the associated hierarchy of Lax integrable lattice equations are presented, and it is shown that the resulting Lax integrable lattice equations are all Liouville integrable discrete Hamiltonian systems. A new integrable symplectic map is given by binary Bargmann constraint of the resulting hierarchy. Finally, an infinite set of conservation laws is given for the resulting hierarchy.