Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field
Exactly Solvable and Integrable Systems
2016-09-08 v2
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 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.
Keywords
Cite
@article{arxiv.nlin/0401010,
title = {Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field},
author = {Anastasios Tongas and Frank Nijhoff},
journal= {arXiv preprint arXiv:nlin/0401010},
year = {2016}
}
Comments
14 pages,1 figure, to appear in J. Phys. A: Math. Gen