A class of Bäcklund transformations for equations of the type u x y=f(u,u x)

DOI10.1063/1.529475zbMath0737.35109OpenAlexW2055793330MaRDI QIDQ3987411

Christodoulos Sophocleous, J. G. Kingston

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529475

zbMATH Keywords

Liouville equationssine-GordonBäcklund transformationsinh-Gordon

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work

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• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics