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

Ivan P. Shestakov; Vladimir V. Sokolov

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arXiv · 1905.01016

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

Ivan P. Shestakov·Vladimir V. Sokolov

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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

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Ivan P. Shestakov, Vladimir V. Sokolov. 2019-05-01. Multi-component generalizations of mKdV equation and non-associative algebraic structures. https://arxiv.org/abs/1905.01016

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