Question: Euler Lagrange with 2 independant variables

Hello

Im trying to solve an energy functional with two independant variables. so the result would be a system of PDEs.

Ive checked

DEtools-Hamilton eq

and

vector calculus-EulerLagrange(f, t, x(t))

But I couldnt figure out how to use 2 independant variables in these commands.

 

Your help would be much appreciated

 

 

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