On integrability of Hirota-Kimura type discretizations
Exactly Solvable and Integrable Systems
2015-05-19 v2 Mathematical Physics
Algebraic Geometry
Dynamical Systems
math.MP
Abstract
We give an overview of the integrability of the Hirota-Kimura discretization method applied to algebraically completely integrable (a.c.i.) systems with quadratic vector fields. Along with the description of the basic mechanism of integrability (Hirota-Kimura bases), we provide the reader with a fairly complete list of the currently available results for concrete a.c.i. systems.
Keywords
Cite
@article{arxiv.1008.1040,
title = {On integrability of Hirota-Kimura type discretizations},
author = {Matteo Petrera and Andreas Pfadler and Yuri B. Suris},
journal= {arXiv preprint arXiv:1008.1040},
year = {2015}
}
Comments
47 pages, some minor changes