Solution to the initial value problem of the ultradiscrete periodic Toda equation

Makoto Idzumi, Shinsuke Iwao, Jun Mada, Tetsuji Tokihiro

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We present an expression for the solution to the initial value problem for the ultradiscrete periodic Toda equation. The expression provides explicit forms of all dependent variables of the equation, while the previously known solutions give only half of the dependent variables while the others have to be determined implicitly using the conserved quantities.

Original languageEnglish
Article number315209
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number31
DOIs
Publication statusPublished - 2009
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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