2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104745We derive an asymptotic solution of the vacuum Einstein equations that describes the propagation and diffraction of a localized, large-amplitude, rapidly-varying gravitational wave. We compare and contrast the resulting theory of strongly nonlinear geometrical optics for the Einstein equations with nonlinear geometrical optics theories for variational wave equations.Analysis of PDEsMathematical Physics35Q75text