Integrable and superintegrable systems associated with multi-sums of products
arXiv:1406.4585 · doi:10.1098/rspa.2014.0481
Abstract
We construct and study certain Liouville integrable, superintegrable, and non-commutative integrable systems, which are associated with multi-sums of products.
arXiv comment26 pages, submitted to Proceedings of the royal society A
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Cited by in corpus (7)
- Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization
- Relativistic Collisions as Yang-Baxter maps
- Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
- Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems
- Dressing the Dressing Chain
- Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families
- Generalized quadratic commutator algebras of PBW-type