Ultradiscrete soliton solution of permanent type

Daisuke Takahashi*, Ryogo Hirota

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


We propose a new type of multi-soliton solution to the box and ball system which is a completely discrete soliton system. The solution follows a form of ultradiscretized permanent which is defined by a signature-free determinant. Moreover, we show the solution is equivalent to a known type of solution and give a direct proof of solution.

Original languageEnglish
Article number104007
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - 2007 Oct 1


  • Bilinear equation
  • Box and ball system
  • Permanent
  • Soliton
  • Ultradiscrete

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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