Journal of Nonlinear Mathematical Physics

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
Available Online 1 May 2000.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
7 - 2
Pages
184 - 197
Publication Date
2000/05
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2000.7.2.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - I.Z. GOLUBCHIK
AU  - V.V. SOKOLOV
PY  - 2000
DA  - 2000/05
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  - https://doi.org/10.2991/jnmp.2000.7.2.8
ID  - GOLUBCHIK2000
ER  -