Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field
可精确求解与可积系统
2016-09-08 v2
摘要
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.
引用
@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}
}
备注
14 pages,1 figure, to appear in J. Phys. A: Math. Gen