Nonlinear Geometrical Acoustics,
NEW YORK UNIV N Y
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The development of the theory of nonlinear wave propagation in both bounded and semi-infinite dissipative media is followed from its origins in the theories of linear geometrical acoustics, simple waves, and acceleration fronts. In Part I, Sections 2 to 5, we consider examples in which only one component wave is excited and describe the effects of three types of dissipative mechanisms on unidirectional waves. In Part II, Sections 6 to 9 we consider nonlinear waves in media of finite extent. In general, more than one component wave is excited. The coupling between the interaction and distortion of the different components is described. The effect of radiation from the boundaries is included for both transient and forced, time-periodic motions.