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Multi-component generalizations of mKdV equation and nonassociative algebraic structures

Full text
Author(s):
Shestakov, Ivan P. ; Sokolov, Vladimir V.
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 20, n. 04, p. 24-pg., 2021-04-01.
Abstract

Relations between triple Jordan systems and integrable multi-component models of the modified Korteveg-de Vries type are established. The most general model is related to a pair consisting of a triple Jordan system and a skew-symmetric bilinear operation. If this operation is a Lie bracket, then we arrive at the Lie-Jordan algebras [Speciality of Lie-Jordan algebras, J. Algebra 237 (2001) 621-636]. (AU)

FAPESP's process: 16/07265-8 - Algebraic structures in integrability theory
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants