Higher order Painlevé equations of type A⁽¹⁾_l

1998/08/03 by Masatoshi Noumi, Noumi, Masatoshi, Yasuhiko Yamada +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/9808003

amslatex, 16 pages

arxiv created 1998/08/03 · openalex publication_date 1998/08/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A series of systems of nonlinear equations with affine Weyl group symmetry of type A⁽¹⁾_l is studied. This series gives a generalization of Painlevé equations P_IV and P_V to higher orders.

Cited by

• Initial value space of the fourth order Painlevé system with A₅⁽¹⁾× A₁⁽¹⁾ symmetry

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