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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnm129, 21 pages, doi:10.1093/imrn/rnm129 published on January 28, 2008
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Copyright © The Author 2008. Published by Oxford University Press.

Higher Order Painlevé System of Type Formula Arising from Integrable Hierarchy

Kenta Fuji

Takao Suzuki

Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan

Correspondence: Correspondence to be sent to: suzukit{at}math.kobe-u.ac.jp

A higher order Painlevé system of type Formula was introduced by Y. Sasano. It is an extension of the sixth Painlevé equation (PVI) for the affine Weyl group symmetry. It is also expressed as a Hamiltonian system of order 2n with a coupled Hamiltonian of PVI. In this article, we discuss a derivation of this system from a Drinfeld–Sokolov hierarchy.

communicated by Prof. Michio Jimbo



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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Fuji, K.
Right arrow Articles by Suzuki, T.
Right arrow Search for Related Content
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Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?