Ultradiscretization of the solution of periodic Toda equation

Details Ultradiscretization of the solution of periodic Toda equation Ultradiscretization of the solution of periodic Toda equation

2007-05-28

arxiv.org/abs/0705.4013v1

J.Phys.A. Math. Theor 40 12987-13021 2007

Physics

Mathematical Physics

41 pages; 7 figures

Scientific paper

10.1088/1751-8113/40/43/010

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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