Existence of strong Bäcklund transformations in four or more dimensions and generalization of a family of Bäcklund transformations

DOI10.1007/BF00398502zbMath0425.35077OpenAlexW2016695663MaRDI QIDQ1135448

Patrick J. McCarthy

Publication date: 1978

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398502

zbMATH Keywords

strong Bäcklund transformationsYang's 'instanton' equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

An integrable multicomponent quad-equation and its Lagrangian formulation ⋮ Bäcklund transformations for the equation z//(uv)=(2 \(z_ u\) \(z_ v)\)/z + z ⋮ Bäcklund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang–Mills Equation

Cites Work

• 2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations
• Bäcklund transformations as nonlinear Dirac equations

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