Third-order integrable difference equations generated by a pair of second-order equations

被引：13
|
作者：
Matsukidaira, J [1 ]
Lakahashi, D
机构：
[1] Ryukoku Univ, Dept Appl Math & Informat, Otsu, Shiga 52021, Japan
[2] Waseda Univ, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 05期
关键词：
D O I：
10.1088/0305-4470/39/5/009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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
收藏
页码：1151 / 1161
页数：11
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