On Bäcklund transformations preserving the Darboux integrability of hyperbolic equations

DOI10.1134/s1995080223050517zbMath1523.35258OpenAlexW4386090367MaRDI QIDQ6059265

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Publication date: 2 November 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223050517

zbMATH Keywords

Darboux integrabilityBäcklund transformationsnonlinear hyperbolic partial differential equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

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• On the Goursat classification problem
• On straightening the characteristics of a quasilinear second-order equation
• On a certain class of hyperbolic equations with second-order integrals
• Exactly integrable hyperbolic equations of Liouville type
• Non-invertible transformations of differential–difference equations
• QUASILINEAR HYPERBOLIC EQUATIONS WITH AN INFINITE-DIMENSIONAL SYMMETRY ALGEBRA
• On nonclassical invertible transformations of hyperbolic equations

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