Abstract
The quadratic-form identity is extended to the discrete version which can be used to construct the Hamiltonian structures of the discrete integrable systems associated with the Lie algebra possessing degenerate Killing forms. Especially, it can be used to work out the Hamiltonian structures of some kinds of discrete integrable couplings. Then a kind of integrable coupling of the Toda hierarchy is obtained and its Hamiltonian structure is worked out by using the discrete quadratic-form identity. Moreover, the Liouville integrability of the integrable coupling is demonstrated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
