Geodesic
The Discrete KP and KdV Equations over Finite Fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 66-73

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We propose an algebro-geometric method for constructing solutions of the discrete KP equation over a finite field. We also perform the corresponding reduction to the finite-field version of the discrete KdV equation. We write formulas that allow constructing multisoliton solutions of the equations starting from vacuum wave functions on an arbitrary nonsingular curve.
Keywords: integrable systems, cellular automata, finite fields. 
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     author = {M. Bialecki and A. Doliwa},
     title = {The {Discrete} {KP} and {KdV} {Equations} over {Finite} {Fields}},
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M. Bialecki; A. Doliwa. The Discrete KP and KdV Equations over Finite Fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 66-73. http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a7/