On integrability of Hirota-Kimura type discretizations

Details On integrability of Hirota-Kimura type discretizations On integrability of Hirota-Kimura type discretizations

2010-08-05

arxiv.org/abs/1008.1040v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

47 pages, some minor changes

Scientific paper

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.

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