Volume 7, Issue 2, May 2000, Pages 184 - 197
Generalized Operator Yang-Baxter Equations, Integrable ODEs and Nonassociative Algebras
Authors
I.Z. Golubchik, V.V. Sokolov
Corresponding Author
I.Z. Golubchik
Received 27 December 1999, Revised 9 March 2000, Accepted 10 March 2000, Available Online 1 May 2000.
- DOI
- 10.2991/jnmp.2000.7.2.8How to use a DOI?
- 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - I.Z. Golubchik AU - V.V. Sokolov PY - 2000 DA - 2000/05/01 TI - Generalized Operator Yang-Baxter Equations, Integrable ODEs and Nonassociative Algebras JO - Journal of Nonlinear Mathematical Physics SP - 184 EP - 197 VL - 7 IS - 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2000.7.2.8 DO - 10.2991/jnmp.2000.7.2.8 ID - Golubchik2000 ER -