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Multi-component generalizations of mKdV equation and non-associative algebraic structures

Authors :
Shestakov, Ivan P.
Sokolov, Vladimir V.
Publication Year :
2019

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<br />Comment: 22 pages. arXiv admin note: substantial text overlap with arXiv:1804.06396

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1905.01016
Document Type :
Working Paper