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Excerpt from Propagation of Magnetohydrodynamic Waves Without Radial Attenuation: January 15, 1959 Since this system of equations is hyperbolic, its solu tions can be described in terms of the propagation of waveso As in the case of the ordinary wave equation, one can investi gate a simplified problem, viz. The propagation of wave fronts and, associated with this, one can construct a theory of ray optic3[l/ Ah important point to realize is that the first order (hamilton-jacobi) partial differential equation which governs the behaviour of wave fronts does not describe the entire content of the second order wave equations In particular, there may be a complicated non-steady flow left behind a wave front propagating into still air, and this residue can only be analyzed by the use of the full wave equation. The situation is more complicated in the magnetohydrodynamic case where there are, in general. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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