A recursive generation of local higher-order sine–Gordon equations and their Bäcklund transformation

DOI10.1063/1.526335zbMath0557.35099OpenAlexW1964271904MaRDI QIDQ3222629

F. Pempinelli, J. Leon, M. Boiti

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526335

zbMATH Keywords

Liouville equationsrecursion operatorsine-Gordon equationBäcklund transformationhierarchynonlinear superposition formulalocal nonlinear evolution equations

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)

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Complete integrability of the nonlinear Itô and Benney-Kaup systems: Gradient algorithm and Lax representation ⋮ Nonformal recursion operators and nonlinear integrable evolution equations ⋮ On a new hierarchy of nonlinear evolution equations containing the Pohlmeyer–Lund–Regge equation ⋮ Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system ⋮ Algebro-geometric solutions of the sine-Gordon hierarchy ⋮ Solution of the Cauchy problem for a generalized sine–Gordon equation

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