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Discrete integrable equations over finite fields
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV equation related to a Yang–Baxter map. Explicit forms of soliton solutions and their periods over finite fields are obtained. Relation to the singularity confinement method is also discussed.
Keywords: integrable system, discrete KdV equation, finite field, cellular automaton. 
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a53/}
}
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Masataka Kanki; Jun Mada; Tetsuji Tokihiro. Discrete integrable equations over finite fields. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a53/

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