Solution of the genaralized periodic discrete Toda equation

Physics – Mathematical Physics

Scientific paper

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18pages, 1figure

Scientific paper

10.1088/1751-8113/41/11/115201

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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