The sine-Gordon equation, Tchebyshev nets, and harmonic maps

DOI10.1016/0034-4877(86)90027-3zbMath0638.58007OpenAlexW2034516651MaRDI QIDQ1099454

Mike Crampin, David J.Saunders

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90027-3

zbMATH Keywords

sine-Gordon equationChebyshev netsRiemannian 2-manifoldinverse scattering equationsspectral optimization problem

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Non-Euclidean geometry: The Gauss formula and an interpretation of partial differential equations ⋮ Geometry--2. Transl. from the Russian ⋮ Strings, harmonic maps and hyperbolic systems

Cites Work

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• Nonlinear phenomena. Proceedings of the CIFMO School and Workshop, held at Oaxtepec, Mexico, November 29 - December 17, 1982
• The soliton connection
• On a geometrical property of the Bäcklund transformation of the sine- Gordon equation
• Integrable Hamiltonian systems and interactions through quadratic constraints
• On the intrinsic geometry of certain nonlinear equations: The sine-Gordon equation
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• A Report on Harmonic Maps
• FIELDS OF UNIT VECTORS IN THE FOUR-SPACE OF GENERAL RELATIVITY

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