Abstract
The theory of wave motions in a continuous media is one of the best-developed theories in classical fluid dynamics and special mathematical methods have been created for the purpose. A short review is given below Let δ(x, t)be a function of the distance x and time t and δ=ψ(x) at t = 0. Then, if at x = θ ± c t the equality
holds, this will mean that the initial profile ψ(x)moves in the positive or negative direction with velocity c preserving its shape. Evidently, a function of the type (1.1) is a solution of the one-dimensional wave equation ψ tt = c 2 ψ xx .
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© 1985 D. Reidel Publishing Company
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Panchev, S. (1985). Waves and Instabilities in the Atmosphere. In: Dynamic Meteorology. Environmental Fluid Mechanics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5221-8_5
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DOI: https://doi.org/10.1007/978-94-009-5221-8_5
Publisher Name: Springer, Dordrecht
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