Saturation of a nonlinear cylindrical sound wave generated by a sinusoidal source

DOI10.1121/1.391900zbMath0585.73053OpenAlexW2027406892MaRDI QIDQ3709996

Bengt O. Enflo

Publication date: 1985

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.391900

zbMATH Keywords

differential equationscylindrical wavesgeneralized Burgers equationamplitudecylindrical sound wavenonlinear casehigher harmonics are absorbedlarge distance from the sourcesinusoidal sourcesystem of successive ordinary lineartwo dimensionless parameters

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves in solid mechanics (74J99)

Related Items (5)

The Taylor internal structure of weak shock waves ⋮ Evolution and decay of cylindrical and spherical nonlinear acoustic waves generated by a sinusoidal source ⋮ Nonlinear self-adjointness and generalized conserved quantities of the inviscid Burgers' equation with nonlinear source ⋮ Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization ⋮ Large Time Asymptotic Behaviors for Periodic Solutions of Generalized Burgers Equations With Spherical Symmetry or Linear Damping

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