Higher-order integrable difference equations generated from second-order ones(Theory,Applied Integrable Systems,<Special Issue>Joint Symposium of JSIAM Activity Groups 2006)
-
- Nagai Hidetomo
- Graduate School of Science and Engineering, Waseda University
-
- Takahashi Daisuke
- Graduate School of Science and Engineering, Waseda University
-
- Matsukidaira Junta
- Graduate School of Science and Technology, Ryukoku University
Bibliographic Information
- Other Title
-
- 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)
- 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
- 2カイ カ セキブン サブン ホウテイシキ カラ セイセイ サレル コウカイ カ セキブン サブン ホウテイシキ ニ ツイテ
Search this article
Abstract
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.
Journal
-
- Transactions of the Japan Society for Industrial and Applied Mathematics
-
Transactions of the Japan Society for Industrial and Applied Mathematics 16 (3), 197-210, 2006
The Japan Society for Industrial and Applied Mathematics
- Tweet
Details 詳細情報について
-
- CRID
- 1390001205768080384
-
- NII Article ID
- 110004833370
-
- NII Book ID
- AN10367166
-
- ISSN
- 09172246
- 24240982
-
- NDL BIB ID
- 8533691
-
- Text Lang
- ja
-
- Data Source
-
- JaLC
- NDL
- CiNii Articles
-
- Abstract License Flag
- Disallowed
