TY - JOUR
T1 - Third-order integrable difference equations generated by a pair of second-order equations
AU - Matsukidaira, Junta
AU - Takahashi, Daisuke
N1 - Copyright:
Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/2/3
Y1 - 2006/2/3
N2 - We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson (QRT) system, but in the other cases, they are irrelevant to the QRT system. We also discuss an ultradiscretization of the equations.
AB - We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson (QRT) system, but in the other cases, they are irrelevant to the QRT system. We also discuss an ultradiscretization of the equations.
UR - http://www.scopus.com/inward/record.url?scp=31144435150&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=31144435150&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/39/5/009
DO - 10.1088/0305-4470/39/5/009
M3 - Article
AN - SCOPUS:31144435150
SN - 0305-4470
VL - 39
SP - 1151
EP - 1161
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 5
ER -