Aspects of the Painlevé property for partial differential equations

DOI10.1016/0167-2789(86)90175-2zbMath0608.35069OpenAlexW2027312962MaRDI QIDQ1086432

Michael Tabor, John D. Gibbon

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90175-2

zbMATH Keywords

integrabilityPainlevé testHirota's methoddifferential-difference equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analyticity in context of PDEs (35A20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Nonclassical symmetries as special solutions of heir-equations ⋮ Painleve’ analysis of a variable coefficient Sine-Gordon equation ⋮ On the Painlevé property of nonlinear field equations in 2+1 dimensions: The Davey–Stewartson system ⋮ Nonclassical Symmetries and the Singular Manifold Method: Theory and Six Examples ⋮ Is the Classical Bukhvostov-Lipatov Model Integrable? A Painlevé Analysis

Cites Work

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• Integrable nonlinear Klein-Gordon equations and Toda lattices
• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
• The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
• On the one- and two-dimensional Toda lattices and the Painlevé property
• The Painlevé Property and Hirota's Method
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• Prolongation structures of nonlinear evolution equations
• The inverse scattering transform: Semi-infinite interval
• The Toda lattice. II. Existence of integrals

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