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The existence and properties of coherent pattern in the multisolitonsolutions of the dKP equation over a finite field is investigated. To that end,starting with an algebro-geometric construction over a finite field, we derivea "travelling wave" formula for $N$-soliton solutions in a finite field.However, despite it having a form similar to its analogue in the complex fieldcase, the finite field solutions produce patterns essentially different fromthose of classical interacting solitons.Comment: 12 pages, 3 figure

On pattern structures of theN-soliton solution of the discrete KP equation over a finite field