A cubic Hamiltonian system with meromorphic solutions

DOI10.1007/s40315-015-0147-6zbMath1345.34146OpenAlexW2256262231MaRDI QIDQ291941

Thomas Kecker

Publication date: 10 June 2016

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/a-cubic-hamiltonian-system-with-meromorphic-solutions(ccca2865-8cc5-41f8-9c2b-7e250474352a).html

zbMATH Keywords

Hamiltonian systemsBäcklund transformationsPainlevé equationsmeromorphic solutions

Mathematics Subject Classification ID

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

Related Items (max. 100)

Regularising transformations for complex differential equations with movable algebraic singularities ⋮ On Hamiltonian structures of quasi-Painlevé equations ⋮ Space of initial conditions for a cubic Hamiltonian system ⋮ An old new class of meromorphic functions

Cites Work

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• Polynomial Hamiltonian systems with movable algebraic singularities
• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• An old new class of meromorphic functions
• Painlevé differential equations in the complex plane
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic

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