Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras
Igor Z. Golubchik, Vladimir V. Sokolov
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.
Create a lesson
Related papers
Long-time asymptotics for the focusing coupled Kundu-Eckhaus equation
Tianwei Qiu, Zhen Wang
Higher-order semi-rational solutions of the (2+1)-dimensional nonlocal multi-component Yajima--Oikawa system
Wenqiang Lu, Kelei Tian, Ying Xu et al.
On equivalence between solution structures of the anti-self-dual Yang--Mills equations
Shangshuai Li
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro