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

2005; Institute of Physics; Volume: 38; Issue: 4 Linguagem: Inglês

10.1088/0305-4470/38/4/009

1361-6447

Anastasios Tongas, Frank Nijhoff,

Algebraic structures and combinatorial models

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.