  We find the turbulent energy spectrum of weakly interacting 2D internal
gravity waves without relying on the hydrostatic approximation. This spectrum
is an exact solution of the kinetic equation after the shear modes are removed,
and it agrees with the oceanic Garrett-Munk spectrum for frequencies large
compared to the Coriolis frequency and vertical scales small compared to the
depth of the ocean. Among a continuous family of solutions to the kinetic
equation, we show that the turbulent solution is the special solution with non
zero angular dependent radial flux. Our solution provides an interesting
insight of how turbulent energy cascade proceeds in anisotropic systems -
similarly to isotropic turbulence it is self-similar in scale, but its angular
part is peaked along the curve of vanishing frequency.
