Multi-component generalizations of mKdV equation and non-associative algebraic structures
Exactly Solvable and Integrable Systems
2019-05-06 v1
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
Cite
@article{arxiv.1905.01016,
title = {Multi-component generalizations of mKdV equation and non-associative algebraic structures},
author = {Ivan P. Shestakov and Vladimir V. Sokolov},
journal= {arXiv preprint arXiv:1905.01016},
year = {2019}
}
Comments
22 pages. arXiv admin note: substantial text overlap with arXiv:1804.06396