Integrability properties of Kahan's method
classification
🌊 nlin.SI
cs.NAmath.NA
keywords
kahansystemsexamplesfieldsintegrabilitymethodvectorarise
read the original abstract
We present several novel examples of integrable quadratic vector fields for which Kahan's discretization method preserves integrability. Our examples include generalized Suslov and Ishii systems, Nambu systems, Riccati systems, and the first Painlev\'e equation. We also discuss how Manin transformations arise in Kahan discretizations of certain vector fields.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.