Bäcklund transformations and new solutions of nonlinear wave equations in four-dimensional space-time

DOI10.1007/BF00397207zbMath0424.35004OpenAlexW2079356287MaRDI QIDQ1134893

R. Raczka, Robert L. Anderson, Asim O. Barut

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00397207

zbMATH Keywords

Bäcklund transformationsnonlinear field equationsconservation laws for nonlinear equationsnew families of solutions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (6)

Nonlinear superposition for Liouville's equation in three spatial dimensions ⋮ Bäcklund transformations in four-dimensional space-time ⋮ A numerical scheme and some theoretical aspects for the cylindrically and spherically symmetric sine-Gordon equations ⋮ A conjecture about Bäcklund transformations ⋮ Representations of the \(q\)-deformed Lie algebra of the group of motions of the Euclidean plane ⋮ A 4-vector generalization of the sine–Gordon equation

Cites Work

• A restricted Bäcklund transformation

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