Tropical Krichever construction for the non-periodic box and ball system

Shinsuke Iwao, Hidetomo Nagai, Shin Isojima

Research output: Contribution to journalArticlepeer-review

Abstract

A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific limiting process based on the theory of tropical geometry. This method gives a tropical analogue of the Krichever construction, which is an algebro-geometric method to construct exact solutions to integrable systems, for the non-periodic system.

Original languageEnglish
Article number395202
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number39
DOIs
Publication statusPublished - 2012 Oct 5
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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