I have been working on the problem of electrified fluid flow down a channel with a moving pressure distribution. I have derived an equation which describes the free surface of said fluid flow which is a Benjamin-Ono like equation. I have a numerical solution for this equation and it gives the sort of pictures that I expect.(adsbygoogle = window.adsbygoogle || []).push({});

I can ignore the nonlinear part of the equation and I can an equation which I can solve analytically via Fourier transforms. Here is what is winding me up: When I set the nonlinear term to zero in my numerical code and compare it to my analytical solution, they should match but they don't, it's almost a factor of 10 out.

Has anyone come across this sort of thing happening before? Is it something I've done wrong?

Any suggestions are always welcome.

Mat

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# Weakly nonlinear theories in electrohydrodynamics

Can you offer guidance or do you also need help?

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