Physics – Mathematical Physics
Scientific paper
2008-06-20
Physics
Mathematical Physics
25 pages, 3 figures
Scientific paper
We introduce a tropical analogue of Fay's trisecant identity for a special
family of hyperelliptic tropical curves. We apply it to obtain the general
solution of the ultra-discrete Toda lattice with periodic boundary conditions
in terms of the tropical Riemann's theta function.
Inoue Rei
Takenawa Tomoyuki
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