Abstract
As we attempt to describe the physical world more accurately, we find that linear relations among the variables of interest, and linear differential equations become inadequate. For want of a positive term, we cover all such situations with the word nonlinear. In particular, sound propagation in a particular substance will be nonlinear in character whenever the intensity of sound is sufficiently high, or when there are nonlinear terms in the equations describing the medium, or when there are nonlinearities involved in the boundary conditions. The term nonlinearity of the medium may involve the simple relation of the adiabatic equation for an ideal gas, the third-order elastic constants in solids or the characteristics of a vortex or a plasma. Our knowledge of sound propagation can both contribute to and benefit from our knowledge of these nonlinearities.
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