Wave equation

The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in physics—such as sound waves, light waves and water waves. Quotes The wave equation behaves nicely in one dimension and in three dimensions but not in two dimensions. In one dimension, waves on a uniform string propagate without distortion. In three dimensions, waves in a homogeneous isotropic medium propagate in an undistorted way except for a spherical correction factor. However, in two dimensions, wave propagation is complicated and distorted. By its very nature, 2D processing never can account for events originating outside of the plane. As a result, 2D processing is broken up into a large number of approximate partial steps in a sequence of operations. These steps are ingenious, but they can never give a true image. Enders A. Robinson Sven Treitel Digital Imaging and Deconvolution: The ABCs of Seismic Exploration and Processing https://books.google.com/books?id=IH-Pu3PlJgAC&pg=PA39 2008 SEG Books 978-1-56080-148-1 39 External links Category:Partial differential equations Category:Equations of physics equation