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Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field

Anastasios Tongas·Frank Nijhoff
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Abstract

A new family of nonlinear partial differential equations is presented. They represent a generalization of the hyperbolic Ernst equations for an Einstein-Mawxell-Weyl field in general relativity. A Bäcklund transformation for the system of equations under consideration is given, and their direct relation to the complete Boussinesq hierarchy of soliton equations is illustrated.

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Anastasios Tongas, Frank Nijhoff. 2004-12-17. Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field. https://doi.org/10.1088/0305-4470%2F38%2F4%2F009

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