Some Contributions to Nonlinear Acoustical Theory via the Burgers Equation.
TRACOR INC EAST ORANGE N J
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The study was undertaken in order to make contributions to existing nonlinear acoustical theory at higher intensities. An exact particular shock wave solution of Burgers second order equation has been obtained for parametric excitation. Through fourier analysis it will be possible to compute the attenuation of the primary beams for a parametric array in which shock formation occurs. A third order Burgers equation is derived. The significance of the new third order terms is discussed. Some approximate solutions are obtained and one is compared with a previously reported result. This preliminary study indicates that third order effects will probably not be important in parametric arrays. However, one should not automatically rule out the importance of third order effects in general, since the approximation solutions obtained here are of very limited scope. Author