Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field
arXiv:nlin/0401010 · doi:10.1088/0305-4470/38/4/009
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.
14 pages,1 figure, to appear in J. Phys. A: Math. Gen