Relationship between the inverse scattering techniques of Belinskii–Zakharov and Hauser–Ernst in general relativity

DOI10.1063/1.525399zbMath0505.35073OpenAlexW2091111245MaRDI QIDQ4740927

Christopher M. Cosgrove

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525399

zbMATH Keywords

surveyBäcklund transformationssoliton solutionsinverse scattering techniquesvacuum gravitational fieldBelinskij-ZakharovHauser-Ernst

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Exact solutions to problems in general relativity and gravitational theory (83C15) Riemann-Hilbert problems in context of PDEs (35Q15)

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Cites Work

• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• On the Soliton Solutions of Stationary, Axi-Symmetric Gravitational Fields