Integrability aspects of a Schwarzian PDE

DOI10.1016/S0375-9601(01)00295-XzbMath0977.35092WikidataQ61835391 ScholiaQ61835391MaRDI QIDQ5936876

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Publication date: 9 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

symmetry groupanti-self-dual Yang-Mills equation reductionauto-Bä cklund transformation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (2)

Dirac-Lie systems and Schwarzian equations ⋮ A family of integrable nonlinear equations of hyperbolic type

Cites Work

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• Automatically determining symmetries of partial differential equations
• A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
• Symmetry analysis of differential equations with MATHEMATICA
• On the discrete and continuous Miura chain associated with the sixth Painlevé equation
• On a Schwarzian PDE associated with the KdV hierarchy
• The Painlevé III, V and VI transcendents as solutions of the Einstein-Weyl equations
• Integrable and solvable systems, and relations among them
• On a unified approach to transformations and elementary solutions of Painlevé equations

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