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- W4288266596 abstract "We present two lists of multi-component systems of integrable difference equations defined on the edges of a $mathbb{Z}^2$ graph. The integrability of these systems is manifested by their Lax formulation which is a consequence of the multi-dimensional compatibility of these systems. Imposing constraints consistent with the systems of difference equations, we recover known integrable quad-equations including the discrete version of the Krichever-Novikov equation. The systems of difference equations allow us for a straightforward reformulation as Yang-Baxter maps. Certain two-component systems of equation defined on the vertices of a $mathbb{Z}^2$ lattice, their non-potential form and integrable equations defined on 5-point stencils, are also obtained." @default.
- W4288266596 created "2022-07-28" @default.
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- W4288266596 date "2019-08-06" @default.
- W4288266596 modified "2023-09-27" @default.
- W4288266596 title "Integrable multi-component difference systems of equations" @default.
- W4288266596 doi "https://doi.org/10.48550/arxiv.1908.02413" @default.
- W4288266596 hasPublicationYear "2019" @default.
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