A hodograph transformation which applies to the heavenly equation

2002/09/24 by Manuel Mañas, Manuel Manas, Manas, Manuel +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Control and Dynamics of Mobile Robots #Mathematics and Applications #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0209050

LaTeX2e with amsmath package, 11 pages

arxiv created 2002/09/24 · arxiv updated 2009/11/30

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.

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