Ordinary differential system in dinension six with affine Weyl group symmetry of type D₄⁽²⁾

2008/08/21 by Yusuke Sasano, Sasano, Yusuke
Mathematics · Physics and Astronomy · #32S65 #34M45 #34M55 #58F05 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #math.CA #msc:32S65 #msc:34M45 #msc:34M55 #msc:58F05

paper · pdf · doi:10.48550/arxiv.0808.2893

6 pages

openalex publication_date 2008/08/21 · arxiv created 2009/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find a three-parameter family of ordinary differential systems in dimension six with affine Weyl group symmetry of type D₄⁽²⁾. This is the second example which gave higher order Painlevé type systems of type D₄⁽²⁾. We show that we give its symmetry and holomorphy conditions. These symmetries, holomorphy conditions and invariant divisors are new.

Citations

• Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est a points critiques fixes

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