Fit data to the correct superposition of Jacobi elliptic functions

Hi all,

I have data that I want to fit to Jacobi elliptic functions,

OR

to superposition of Jacobi elliptic functions

How can I do that?

I attach example of the data,

and a link of ellipj in matlab.

https://www.mathworks.com/help/matlab/ref/ellipj.html

Thanks