  We consider a new nonlocal formulation of the water-wave problem for a free
surface with an irrotational flow based on the work of Ablowitz, Fokas, and
Musslimani and presented in the recent work of Oliveras. The main focus of the
short paper is to show how one can systematically derive Olver's eight
conservation laws not only for an irrotational fluid, but also for constant
vorticity (linear shear flow) without explicitly relying on the underlying Lie
symmetries. This allows us to make draw new conclusions about conservation laws
and posit the existence of additional, nonlocal, conservation laws for the
water-wave problem.
