TY - JOUR
T1 - The two-dimensional periodic box-ball system and its fundamental cycle
AU - Iwao, Shinsuke
PY - 2012/10/5
Y1 - 2012/10/5
N2 - We study a two-dimensional box-ball system which is an ultradiscrete analogue of the discrete KP equation. We construct an algorithm to calculate the fundamental cycle, which is an important conserved quantity of the two-dimensional box-ball system with periodic boundary condition, by using the tropical curve theory.
AB - We study a two-dimensional box-ball system which is an ultradiscrete analogue of the discrete KP equation. We construct an algorithm to calculate the fundamental cycle, which is an important conserved quantity of the two-dimensional box-ball system with periodic boundary condition, by using the tropical curve theory.
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U2 - 10.1088/1751-8113/45/39/395204
DO - 10.1088/1751-8113/45/39/395204
M3 - Article
AN - SCOPUS:84866360623
SN - 1751-8113
VL - 45
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 39
M1 - 395204
ER -