日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
2階可積分差分方程式から生成される高階可積分差分方程式について(理論,応用可積分系,<特集>平成18年研究部会連合発表会)
長井 秀友高橋 大輔松木平 淳太
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2006 年 16 巻 3 号 p. 197-210

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A new method to construct a higher-order integrable difference equations generated from second-order ones is proposed. Using this method, we can obtain third or higher-order integrable difference equations from Quispel-Roberts-Thompson(QRT) systems. Moreover, we can obtain third-order integrable equations from discrete Painleve I equations. The higher-order equation can also be separated into a set of second-order integrable equations on separated lattices. Especially, a pair of discrete Painleve II equations on even and odd lattices are obtained via the third-order equation derived from a pair of discrete Painleve I equations.

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© 2006 一般社団法人 日本応用数理学会
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