Multi-component generalizations of mKdV equation and non-associative algebraic structures
- Resource Type
- Working Paper
- Authors
- Shestakov, Ivan P.; Sokolov, Vladimir V.
- Source
- Subject
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
37K10, 17C50
- Language
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
Comment: 22 pages. arXiv admin note: substantial text overlap with arXiv:1804.06396