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What happens if I use the free parameters in variational methods in a non-linear manner?

I have this question in front of me and I am not sure how to answer it.

hcl734
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  • Do you have a specific function? – callculus42 Jul 25 '18 at 12:34
  • I think one gets some sort of function that is a polynomial in the nonlinearity one has in mind. One then wants this to have a root at $s=0$. This seems like a really interesting idea indeed! Maybe new differential equations become accessible in this manner. – Cloudscape Jul 25 '18 at 12:42

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