一个新的基本不对称波动方程及其在声波传播中的应用

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2022-11-04 DOI:10.1155/2023/5736419

Z. Musielak

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引用次数: 0

摘要

利用扩展伽利略群的不可约表示，导出了对称和非对称波动方程。结果表明，在这些方程中，只有一个新的非对称波动方程是基本的。作为基础，该方程给出了传播波的最完整描述，因为它考虑了多普勒效应、前向波和后向波，并使所有惯性系中的波速相同。为了证明这些特性，将该方程应用于等温大气中的声波传播，并确定兰姆的截止频率。

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A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation

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 wave propagation in an isothermal atmosphere, and to determine Lamb’s cutoff frequency.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.