Abstract
We propose an ultradiscrete analog of the Plücker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the permanent, that is, the signature-free determinant. Using this relation, we also show soliton solutions to the ultradiscrete Kadomtsev–Petviashvili equation and the ultradiscrete two-dimensional Toda lattice equation, respectively.
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