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

Igor Z. Golubchik; Vladimir V. Sokolov

doi:10.2991/jnmp.2000.7.2.8

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arXiv · nlin/0003034

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

Igor Z. Golubchik·Vladimir V. Sokolov

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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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Igor Z. Golubchik, Vladimir V. Sokolov. 2000-04-01. Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. https://doi.org/10.2991/jnmp.2000.7.2.8

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