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Awesome! Do you know if any PDE describes this "wave"?
indeed, the Trochoidal waves are an exact solution of the Euler equations for periodic surface gravity waves
That's neat. Any paper where I can find the proof?
Several physics textbooks on vibrations & waves have it! 
Except the solution is rotational... which means it should induce viscous forces which are missing from the Euler equation.
This is why we don't actually observe this solution experimentally ever. Instead we get things like Stoke's waves. https://en.wikipedia.org/wiki/Stokes_wave …
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