Multi-component generalizations of mKdV equation and non-associative algebraic structures
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
- Publication:
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arXiv e-prints
- Pub Date:
- May 2019
- DOI:
- arXiv:
- arXiv:1905.01016
- Bibcode:
- 2019arXiv190501016S
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 37K10;
- 17C50
- E-Print:
- 22 pages. arXiv admin note: substantial text overlap with arXiv:1804.06396