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Directed Acoustic Beams Interacting with Heat Mode: Coupled Nonlinear Equations and the Modified KZK Equation

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The method of one-dimensional disturbances splitting into progressive waves of opposite directions and the heat mode by projection technique is applied to the quasi-plane problem. By such projecting the fundamental system of equations is transformed to three coupled nonlinear equations for the interacting modes. The thermoviscous flow is considered. In the case of self-action the system of coupled equations leads to the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation for acoustic beam. An evolution equation for a beam with account of iterated influence of the other modes is derived if this beam is dominant. The corrected evolution equation for a beam with cubic nonlinear terms is derived, and well as formulae on evolution of the first and second expansion terms of pressure in paraxial region.
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Document Type: Research Article

Publication date: March 1, 2001

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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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