%0 Journal Article %T Second-order PDEs in four dimensions with half-flat conformal structure %A B. Kruglikov %A E. V. Ferapontov %A S. Berjawi %A V. Novikov %J - %D 2020 %R 10.1098/rspa.2019.0642 %X We study second-order partial differential equations (PDEs) in four dimensions for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or ant.. %U https://royalsocietypublishing.org/doi/10.1098/rspa.2019.0642