AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE <i>A</i>₄⁽¹⁾

DOI10.2206/kyushujm.58.393zbMath1074.34084arXivmath/0405416OpenAlexW2121423139MaRDI QIDQ4660375

Nobuhiko Tahara

Publication date: 21 March 2005

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405416

zbMATH Keywords

phase spaceformal solutionBäcklund transformationPainlevé type equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Abstract differential equations (12H20) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Painlevé-type functions (33E17)

Related Items (6)

Spaces of initial conditions of Garnier system and its degenerate systems in two variables ⋮ Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two ⋮ The Symmetric Fourth Painlevé Hierarchy and Associated Special Polynomials ⋮ Coupled Painlevé II systems in dimension four and the systems of type \(A^{(1)}_4\) ⋮ 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)

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