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arXiv · 1602.07631

On exact solutions of nonlinear acoustic equations

A. M. Kamchatnov·M. V. Pavlov
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Abstract

Solutions of nonlinear acoustic equations describing propagation of strong sound pulses with account of curvature of wave fronts in multi-dimensional geometry are obtained from simple physical considerations. The form of these solutions suggests ansatz suitable for finding solutions of much more general equations of Khokhlov-Zabolotskaya type. General method is illustrated by an example of nonlinear sound pulse focused in one transverse direction and defocused in the other direction.

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A. M. Kamchatnov, M. V. Pavlov. 2016-02-24. On exact solutions of nonlinear acoustic equations. https://arxiv.org/abs/1602.07631

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