TY - JOUR
T1 - Tropical Krichever construction for the non-periodic box and ball system
AU - Iwao, Shinsuke
AU - Nagai, Hidetomo
AU - Isojima, Shin
PY - 2012/10/5
Y1 - 2012/10/5
N2 - A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific limiting process based on the theory of tropical geometry. This method gives a tropical analogue of the Krichever construction, which is an algebro-geometric method to construct exact solutions to integrable systems, for the non-periodic system.
AB - A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific limiting process based on the theory of tropical geometry. This method gives a tropical analogue of the Krichever construction, which is an algebro-geometric method to construct exact solutions to integrable systems, for the non-periodic system.
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U2 - 10.1088/1751-8113/45/39/395202
DO - 10.1088/1751-8113/45/39/395202
M3 - Article
AN - SCOPUS:84866375892
SN - 1751-8113
VL - 45
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 39
M1 - 395202
ER -