Papers - Iwao, Shinsuke

Ultradiscretization of the theta function solution of pd Toda

Shinsuke Iwao, Tetsuji Tokihiro

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (IOP PUBLISHING LTD)  40 ( 43 ) 12987 - 13021 2007

Accepted,  ISSN  1751-8113

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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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