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Some Exact Solutions of the Equations of One-Dimensional Non-Linear Acoustics

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Some particular exact explicit solutions of the equations of one-dimensional non-linear acoustics are found by writing the equations in a form which may be handled by separation of variables, or by seeking a solution for which the pressure is a function of a single variable. The solutions apply to a gas occupying a finite region when in equilibrium, and do not satisfy Earnshaw's relationship. The solutions are briefly discussed with emphasis on ways in which they may break down. It is found that the ways of breaking down differ from the case of a progressive wave. In fact particular exact explicit solutions exist for which the pressure propagates as a constant profile wave relative to the gas.
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Document Type: Research Article

Publication date: December 1, 1970

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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