# Questions tagged [wave-equation]

For questions related to solutions and analysis of the wave equation.

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### How to solve this Wave equation for a moving medium $[\frac{1}{c^2}(\frac{\partial}{\partial t} + u\cdot\nabla)^2 - \nabla^2]\phi=0$

$$[\frac{1}{c^2}(\frac{\partial}{\partial t} + u\cdot\nabla)^2 - \nabla^2]\phi=0$$ How to solve for $\phi \in R$ given $u \in R$ ? comment: ofcourse if $u=0$ the solutions are familiar ones (sinusoids)...
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### Dispersive Waves on a Semi-Infinite String

I am having an insane amount of trouble figuring out this problem that I solved probably ten years ago. Googling leads to solutions that make use of D'Alembert's formula, but that doesn't work for ...
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### How would one describe $k$ iterations of $\cos(n)$?
What function would one use to describe $k$ iterations of $\cos(n)$? I'm pretty sure that the function would be a damped sine wave (as can be seen in the curve fit equation I wrote in the third row), ...