It’s been a while.  Over the last week, I’ve been working on documenting the conservation laws via a weak formulation of the water-wave problem using some of the work of Sal (undergraduate research student).  At this point, we can systematically derive the 8 7 conservation laws for the irrotational problem (the Hamiltonian is the 8th).  We also have the system in place for constant vorticity.

Hopefully, we’ll have a really rough draft posted soon.