A trace identity and its applications to the theory of discrete integrable systems
- 7 September 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (17) , 3903-3922
- https://doi.org/10.1088/0305-4470/23/17/020
Abstract
A general theory for studying discrete integrable systems is developed based on a trace identity that the author previously proposed. A scheme for generating hierarchies of discrete integrable systems is presented. Under broad assumptions the resulting hierarchies are shown to consist of Liouville integrable Hamiltonian systems.Keywords
This publication has 7 references indexed in Scilit:
- On Liouville integrability of zero-curvature equations and the Yang hierarchyJournal of Physics A: General Physics, 1989
- A systematic approach to the soliton equations of a discrete eigenvalue problemJournal of Mathematical Physics, 1989
- The trace identity, a powerful tool for constructing the hamiltonian structure of integrable systems (II)Acta Mathematicae Applicatae Sinica, English Series, 1989
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systemsJournal of Mathematical Physics, 1989
- The Hamiltonian structure of the nonabelian Toda hierarchyJournal of Mathematical Physics, 1983
- Symplectic structures, their Bäcklund transformations and hereditary symmetriesPhysica D: Nonlinear Phenomena, 1981
- A simple model of the integrable Hamiltonian equationJournal of Mathematical Physics, 1978