論文 - 岩尾　慎介

Solutions of the generalized periodic discrete Toda equation

Iwao, S.

Journal of Physics A: Mathematical and Theoretical （IOP PUBLISHING LTD）  41 （ 11 ） 115201 2008年

査読有り,  ISSN  1751-8113

　概要を見る

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


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Ultradiscretization of the theta function solution of pd Toda

Iwao, S. and Tokihiro, T.

Journal of Physics A: Mathematical and Theoretical （IOP PUBLISHING LTD）  40 （ 43 ） 12987 - 13021 2007年

査読有り,  ISSN  1751-8113

　概要を見る

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


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