Rational solutions of the \(A_4\) Painlevé equation

DOI10.3792/pjaa.81.85zbMath1098.34581OpenAlexW1964234711MaRDI QIDQ815155

Kazuhide Matsuda

Publication date: 21 February 2006

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.81.85

zbMATH Keywords

affine Weyl groupsPainlevé equationrational solutionsBäcklund transformations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (3)

Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ Symmetric solutions to the four dimensional degenerate Painlevé type equation NY ^{A ₄} ⋮ Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$A4(1)

Cites Work

• Affine Weyl groups, discrete dynamical systems and Painlevé equations
• Rational solutions of the fifth Painlevé equation
• Rational solutions of the Painlevé VI equation
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