A hodograph transformation which applies to the heavenly equation
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
A hodograph transformation for a wide family of multidimensional nonlinear partial differential equations is presented. It is used to derive solutions of the heavenly equation (dispersionless Toda equation) as well as a family of explicit ultra-hyperbolic selfdual vacuum spaces admiting only one Killing vector which is not selfdual, we also give the corresponding explicit Einstein--Weyl structures.
Keywords
Cite
@article{arxiv.nlin/0209050,
title = {A hodograph transformation which applies to the heavenly equation},
author = {Manuel Manas and Luis Martinez Alonso},
journal= {arXiv preprint arXiv:nlin/0209050},
year = {2007}
}
Comments
LaTeX2e with amsmath package, 11 pages