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The One-Dimensional Wave Equation and Its Solutions

  • Eugen Skudrzyk

Abstract

At a sufficiently great distance from the sound source, the wave fronts become plane. The solutions of the wave equation then depend only on the coordinate x in the direction of propagation, \( \left( \frac{\partial \Phi }{\partial y}=\frac{\partial \Phi }{\partial z}=0 \right) \) and the wave equation reduces to
$$ \frac{{{\partial }^{2}}\Phi }{\partial {{x}^{2}}}=\frac{1}{{{c}^{2}}}\frac{{{\partial }^{2}}\Phi }{\partial {{t}^{2}}} $$
(1)
.

Keywords

Wave Equation Particle Velocity Sound Pressure Order Quantity Natural Vibration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag/Wien 1971

Authors and Affiliations

  • Eugen Skudrzyk
    • 1
  1. 1.Ordnance Research Laboratory and Physics DepartmentThe Pennsylvania State UniversityUniversity ParkUSA

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