TY - JOUR
T1 - Box and ball system as a realization of ultradiscrete nonautonomous KP equation
AU - Tokihiro, T.
AU - Takahashi, D.
AU - Matsukidaira, J.
PY - 2000/1/28
Y1 - 2000/1/28
N2 - Cellular automata, which are realized by dynamics of several kinds of balls in an infinite array of boxes, are investigated. They show soliton patterns even in the case when each box has arbitrary capacity. The analytical expression for the soliton patterns are obtained using ultradiscretization of the nonautonomous discrete KP equation.
AB - Cellular automata, which are realized by dynamics of several kinds of balls in an infinite array of boxes, are investigated. They show soliton patterns even in the case when each box has arbitrary capacity. The analytical expression for the soliton patterns are obtained using ultradiscretization of the nonautonomous discrete KP equation.
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U2 - 10.1088/0305-4470/33/3/313
DO - 10.1088/0305-4470/33/3/313
M3 - Article
AN - SCOPUS:0039965045
SN - 1751-8113
VL - 33
SP - 607
EP - 619
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 3
ER -