  We show that in the anisotropic Ho\v{r}ava-Lifshitz gravity there is a
well-defined wave zone where the physical degrees of freedom propagate
according to a non-relativistic linear evolution equation of high order in
spatial derivatives, which reduces to the wave equation at low energy. This is
so, provided the coupling parameters satisfy some restrictions which we study
in detail. They are imposed to obtain a finite ADM gravitational energy, which
depends manifestly on the terms which break the Lorentz symmetry of the
formulation. The analysis we perform is beyond the linearized approach and
includes all high order terms of the Hamiltonian potential.
