TY - JOUR
T1 - Ultradiscretization of elliptic functions and its applications to integrable systems
AU - Nobe, Atsushi
PY - 2006/5/19
Y1 - 2006/5/19
N2 - It is shown that there exist three kinds of ultradiscrete analogues of Jacobi's elliptic functions. In this process, the asymptotic behaviour of the poles and the zeros of the functions plays a crucial role. Using the ultradiscrete analogues and an addition formula, exact solutions to the ultradiscrete KP equation are constructed, and their relation to the ultradiscrete QRT system is discussed.
AB - It is shown that there exist three kinds of ultradiscrete analogues of Jacobi's elliptic functions. In this process, the asymptotic behaviour of the poles and the zeros of the functions plays a crucial role. Using the ultradiscrete analogues and an addition formula, exact solutions to the ultradiscrete KP equation are constructed, and their relation to the ultradiscrete QRT system is discussed.
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U2 - 10.1088/0305-4470/39/20/L07
DO - 10.1088/0305-4470/39/20/L07
M3 - Article
AN - SCOPUS:33646428911
VL - 39
SP - L335-L342
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 20
ER -