Rational Solutions of the Noumi and Yamada System of type A₅⁽¹⁾

2007/08/22 by Kazuhide Matsuda, Matsuda, Kazuhide
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AC #math.AG #math.CA

paper · pdf · doi:10.48550/arxiv.0708.2960

75 pages

openalex publication_date 2007/08/22 · arxiv created 2011/10/10 · arxiv updated 2011/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We completely classify all of rational solutions of the Noumi and Yamada system of type A₅⁽¹⁾, which is a generalization of the fifth Painlevé equation. The rational solutions are classified to five classes by the Bäcklund transformation group.

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