Third-order integrable difference equations generated by a pair of second-order equations
可精确求解与可积系统
2016-09-08 v1 混沌动力学
摘要
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.
引用
@article{arxiv.nlin/0512072,
title = {Third-order integrable difference equations generated by a pair of second-order equations},
author = {Junta Matsukidaira and Daisuke Takahashi},
journal= {arXiv preprint arXiv:nlin/0512072},
year = {2016}
}
备注
15 pages, 3 figures; Accepted for Publication in J. Phys. A