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- W2028808359 abstract "We define and study deformations of the structure constants for a certain class of associative noncommutative algebras generated by deformation-driving algebras (DDAs). These deformations are governed by the central system (CS). We study such a CS in the case where the DDA is the algebra of shifts. We present concrete examples of deformations for the three-dimensional algebra governed by discrete and mixed continuous-discrete Boussinesq (BSQ) and WDVV equations. We show that the theory of Darboux transformations is completely incorporated into the proposed scheme of deformations, at least in the BSQ case." @default.
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- W2028808359 date "2009-06-01" @default.
- W2028808359 modified "2023-09-27" @default.
- W2028808359 title "Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras" @default.
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- W2028808359 doi "https://doi.org/10.1007/s11232-009-0072-9" @default.
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