Integrable 1D Toda cellular automata
classification
🌊 nlin.SI
keywords
equationdiscretetodaconstructionfieldfinitemethodsolutions
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First, we recall the algebro-geometric method of construction of finite field valued solutions of the discrete KP equation and next we perform a reduction of the dKP equation to the discrete 1D Toda equation. This gives a method of construction of solutions of the discrete 1D Toda equation taking values in a finite field.
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