Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$A4(1)

DOI10.1063/1.3681867zbMath1274.37038arXiv0708.0074OpenAlexW1664224089MaRDI QIDQ2861723

Kazuhide Matsuda

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0074

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Painlevé-type functions (33E17)

Related Items (3)

Series solution of Painlevé II in electrodiffusion: conjectured convergence ⋮ Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations ⋮ Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems

Cites Work

• Rational solutions of the \(A_4\) Painlevé equation
• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• The isomonodromic deformation method in the theory of Painlevé equations
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Affine Weyl groups, discrete dynamical systems and Painlevé equations
• Dressing chains and the spectral theory of the Schrödinger operator
• Nonlinear chains and Painlevé equations
• Rational solutions of the Painlevé VI equation
• AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE <i>A</i>₄⁽¹⁾
• New exact solutions of the Boussinesq equation
• Rational Solutions of Painlevé Equations

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