Ultradiscretization of the theta function solution of pd Toda

Shinsuke Iwao; Tetsuji Tokihiro

doi:10.1088/1751-8113/40/43/010

Ultradiscretization of the theta function solution of pd Toda

Shinsuke Iwao, Tetsuji Tokihiro

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda equation). We show the relation between a Young diagram of the pBBS and a spectral curve of the pd Toda equation. The formula for the fundamental cycle of the pBBS is obtained as a corollary.

Original language	English
Pages (from-to)	12987-13021
Number of pages	35
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	43
DOIs	https://doi.org/10.1088/1751-8113/40/43/010
Publication status	Published - 2007 Oct 26
Externally published	Yes

ASJC Scopus subject areas

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

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Cite this

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abstract = "A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda equation). We show the relation between a Young diagram of the pBBS and a spectral curve of the pd Toda equation. The formula for the fundamental cycle of the pBBS is obtained as a corollary.",

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AU - Tokihiro, Tetsuji

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N2 - A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda equation). We show the relation between a Young diagram of the pBBS and a spectral curve of the pd Toda equation. The formula for the fundamental cycle of the pBBS is obtained as a corollary.

AB - A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda equation). We show the relation between a Young diagram of the pBBS and a spectral curve of the pd Toda equation. The formula for the fundamental cycle of the pBBS is obtained as a corollary.

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DO - 10.1088/1751-8113/40/43/010

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 43

ER -

Ultradiscretization of the theta function solution of pd Toda

Abstract

ASJC Scopus subject areas

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