Triple Jordan systems and integrable models of mKdV-type
I.P. Shestakov, V.V. Sokolov
TL;DR
This paper establishes a direct correspondence between triple Jordan systems and integrable multi-component mKdV-type models, providing a new mathematical framework for understanding these integrable systems.
Contribution
It introduces a novel link between algebraic structures (triple Jordan systems) and integrable PDE models of the mKdV type, expanding the theoretical understanding.
Findings
Established a one-to-one correspondence between triple Jordan systems and integrable models.
Provided a new algebraic approach to classify mKdV-type equations.
Enhanced the theoretical framework for integrable multi-component systems.
Abstract
A one-to-one correspondence between triple Jordan systems and integrable multi-component models of the modified Korteveg--de Vries type is established.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra