Sigma model for Ernst equation: Lax representation, Bäcklund transformation and divergence-free currents

DOI10.1007/BF02083737zbMath0554.35110OpenAlexW2092833253MaRDI QIDQ759921

A. N. Tarakanov, Evgeny V. Doktorov

Publication date: 1984

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02083737

zbMATH Keywords

Ernst equationgeneral relativitynonlinear equationsLax representationsigma modelgauge equivalenceBäcklund transformationinverse scattering methodBelinskij-Zakharov-type completely integrable equationdivergence-free currents

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)

Cites Work

• Unnamed Item
• Finite Lorentz transformations in quantum field theory
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The Backlund Transformations and the Inverse Scattering Method of the Ernst Equation
• Lie groups, spin equations, and the geometrical interpretation of solitons
• Gauge equivalence of exactly integrable field theoretic models
• Prolongation structures of nonlinear evolution equations
• Some extremal problems in designing discriminating experiments

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