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

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

2004-01-09

arxiv.org/abs/nlin/0401010v2

J.Phys. A38 (2005) 895-906

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages,1 figure, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/38/4/009

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 B\"acklund 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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