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

被引：0
|
作者：
Golubchik, IZ
Sokolov, VV
机构：
[1] Bashkirian Pedag Inst, Ufa 450000, Russia
[2] Russian Acad Sci, LD Landau Theoret Phys Inst, Ctr Nonlinear Studies, Moscow 117940, Russia
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2000年 / 7卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.2991/jnmp.2000.7.2.5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：184 / 197
页数：14
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