Higher order Painleve system of type D⁽¹⁾_2n+2 arising from integrable hierarchy

2007/04/19 by Kenta Fuji, Fuji, Kenta, Takao Suzuki +1 · 1 citation
Mathematics · Physics and Astronomy · #17B80 #34M55 #37K10 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0704.2574

openalex publication_date 2007/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A higher order Painleve system of type D⁽¹⁾_2n+2 was introduced by Y. Sasano. It is an extension of the sixth Painleve equation for the affine Weyl group symmetry. It is also expressed as a Hamiltonian system of order 2n with a coupled Painleve VI Hamiltonian. In this paper, we discuss a derivation of this system from a Drinfeld-Sokolov hierarchy.

Cited by

• Non-integrability of the Sasano system of type A⁽²⁾₅

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