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
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