Hi everyone, I’m trying to manipulate the dispersion relation for capillary-gravity waves, i.e. ?² = Tanh[kh](gk + ?k³/?) in order to express k as a function of h. My first pick was to express h as a function of k h = (1/k) ArcTanh [?² (gk + ?k³/?)^(-1) ] and then try to invert it with Findroo…

Your Findroot line worked quite nice, although my solution seems to become complex much quicker that I expected, but I can figure out a physical explanation for this. My deepest thanks !

>>Your Findroot line worked quite nice Thanks, but it’s not mine in fact, I’ve googled in the past when I had a need for it :slight_smile: I.M.

Inverting dispersion relation

Questions

iamorozov1 (Ivan Morozov) February 19, 2014, 1:18pm 2

Hi,

Please see the following posts, where inverse function was discussed:

http://community.wolfram.com/groups/-/m/t/202130?p_p_auth=RqDuF3RE
http://community.wolfram.com/groups/-/m/t/195699?p_p_auth=z06oR5wZ

I.M.

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Inverting dispersion relation

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