Bilinear equations and Bäcklund transformation for a generalized ultradiscrete soliton solution

Hidetomo Nagai, Daisuke Takahashi

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5 Citations (Scopus)


Ultradiscrete soliton equations and Bäcklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete Korteweg-de Vries (KdV) equation or the ultradiscrete Toda equation in a special case. We also express the solution by the ultradiscrete permanent, which is defined by ultradiscretizing the signature-free determinant, that is, the permanent. Moreover, we discuss a relation between Bäcklund transformations for discrete and ultradiscrete KdV equations.

Original languageEnglish
Article number375202
JournalJournal of Physics A: Mathematical and Theoretical
Issue number37
Publication statusPublished - 2010 Sep 17


ASJC Scopus subject areas

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

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