Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras
Exactly Solvable and Integrable Systems
2015-06-26 v2
Abstract
Reductions for systems of ODEs integrable via the standard factorization method (the Adler-Kostant-Symes scheme) or the generalized factorization method, developed by the authors earlier, are considered. Relationships between such reductions, operator Yang-Baxter equations, and some kinds of non-associative algebras are established.
Cite
@article{arxiv.nlin/0003034,
title = {Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras},
author = {Igor Z. Golubchik and Vladimir V. Sokolov},
journal= {arXiv preprint arXiv:nlin/0003034},
year = {2015}
}