Reductions of a two-dimensional sine-Gordon system to the sixth Painlevé equation

DOI10.1016/j.bulsci.2023.103372arXiv2311.17469OpenAlexW4389590137MaRDI QIDQ6146239

A. Michel Grundland, Robert Conte

Publication date: 10 January 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.17469

zbMATH Keywords

reduction to nonlinear ODE systems

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

• Equations différentielles du second ordre en Y et du second degré en Y dont l'intégrale générale est à points critiques fixes
• Bilinear structure and Schlesinger transforms of the \(q\)-P\(_{III}\) and \(q\)-P\(_{VI}\) equations
• Differential equations with fixed critical points
• Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• Chazy's second-degree Painlevé equations
• The Painlevé property for partial differential equations
• Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
• The (2 + 1)-dimensional sine - Gordon equation; integrability and localized solutions
• A Dimensional Integrable Generalization of the Sine‐Gordon Equation I. ‐∂‐Dressing and the Initial Value Problem
• Discrete versions of the Painlevé equations
• Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system
• The Painlevé Handbook

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