A New Fundamental Asymmetric Wave Equation and its Application to Acoustic Wave Propagation
arXiv:2211.03546 · doi:10.1155/2023/5736419
Abstract
The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental the equation gives the most complete description of propagating waves as it accounts for the Doppler effect, forward and backward waves, and makes the wave speed to be the same in all inertial frames. To demonstrate these properties, the equation is applied to acoustic waves propagation in an isothermal atmosphere, and to determine Lamb's cutoff frequency.
References in corpus (8)
- Asteroseismology of solar-type stars
- Global Seismology of the Sun
- Lagrangians Galore
- Gauge Functions and Galilean Invariance of Lagrangians
- Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
- New Equation of Nonrelativistic Physics and Theory of Dark Matter
- New Nonrelativistic Quantum Theory of Cold Dark Matter
- Covariance of the Schrödinger equation under low velocity boosts