ON A NOVEL CLASS OF INTEGRABLE ODEs RELATED TO THE PAINLEVÉ EQUATIONS

DOI10.1142/S0218127412502112zbMath1258.34176arXiv1009.5125OpenAlexW2963857902MaRDI QIDQ4907079

Di Yang, Athanassios S. Fokas

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5125

zbMATH Keywords

Painlevé equationLax pairintegrable nonlinear ODEconjugate Painlevé equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs ⋮ Properties of solutions of two second-order differential equations with the Painlevé property

Cites Work

• Unnamed Item
• On the initial value problem of the second Painleve transcendent
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• On the \(\tau \)-function of the Painlevé equations
• Monodromy- and spectrum-preserving deformations. I
• On the solvability of Painlevé II and IV
• Hodograph Transformations of Linearizable Partial Differential Equations
• On the linearization of the first and second Painlevé equations
• On a unified approach to transformations and elementary solutions of Painlevé equations

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