Ultradiscrete Pl\"ucker Relation Specialized for Soliton Solutions
classification
🌊 nlin.SI
keywords
ultradiscreterelationsolitonsolutionsequationpermanentspecializeducker
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We propose an ultradiscrete analogue of Pl\"ucker 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 KP equation and the ultradiscrete two-dimensional Toda lattice equation respectively.
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