Ultradiscrete Plücker relation specialized for soliton solutions

Hidetomo Nagai*, Daisuke Takahashi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Article number095202
JournalJournal of Physics A: Mathematical and Theoretical
Issue number9
Publication statusPublished - 2011 Mar 4

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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