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- W4387356142 abstract "We investigate the integrability of the non-commutative leapfrog map in this paper. Firstly, we derive the explicit formula for the non-commutative leapfrog map and corresponding discrete zero-curvature equation by employing the concept of non-commutative cross-ratio. Then we revisit this discrete map, as well as its continuous limit, from the perspective of non-commutative Laurent bi-orthogonal polynomials. Finally, the Poisson structure for this discrete non-commutative map is formulated with the help of a non-commutative network. We aim to enhance our understanding of the integrability properties of the non-commutative leapfrog map and its related mathematical structures through these analysis and constructions." @default.
- W4387356142 created "2023-10-05" @default.
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- W4387356142 date "2023-10-03" @default.
- W4387356142 modified "2023-10-06" @default.
- W4387356142 title "On non-commutative leapfrog map" @default.
- W4387356142 doi "https://doi.org/10.48550/arxiv.2310.01993" @default.
- W4387356142 hasPublicationYear "2023" @default.
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