## Connecting Olver [1983] with AFM [2006]

Thinking more about these conservation laws and the connection with the nonlocal formulation, consider a harmonic function $\varphi$ in conjunction with the velocity potential $\phi$ and the stream-function $\psi$.

It is straightforward to show that $(x + i\eta)^n$ are indeed conserved densities in the sense of Olver, 1983.  But do these make sense?  Well this was an embarrassing mistake, but the formulation is still helpful!  Details follow below.