Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras

Details Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras

2000-03-13

arxiv.org/abs/nlin/0003034v2

J. Nonlinear Math. Phys. 7 (2000), no. 2, 184-197

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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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