Bäcklund transformations for the nonlinear Korteweg-de Vries equation from the algebrogeometric point of view

DOI10.1007/BF01061188zbMath0601.35103MaRDI QIDQ1081034

Valeriy H. Samoylenko, Anatoliy K. Prykarpatsky

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de Vries equationfinite-gap solutionsBäcklund transformationconservation law generatorLenhart recursion formula

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation
• A formula relating infinitesimal Backlund transformations to hierarchy generating operators
• Infinitesimal canonical transformations of generalised Hamiltonian equations

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