Solutions of the generalized periodic discrete Toda equation

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4 Citations (Scopus)

Abstract

A box-ball system with more than one kind of ball is obtained by the generalized periodic discrete Toda equation (pd Toda equation). We present an algebraic geometric study of the periodic Toda equation. The time evolution of the pd Toda equation is linearized on the Picard group of an algebraic variety, and theta function solutions are obtained.

Original languageEnglish
Article number115201
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number11
DOIs
Publication statusPublished - 2008 Mar 21
Externally publishedYes

ASJC Scopus subject areas

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

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