  The problem of reconstructing non-harmonic internal gravity wave packets
generated by a source moving in a stratified ocean is considered. The uniform
asymptotic form of the internal gravity waves field generated by a source
moving above the smoothly varying floor is constructed. The solution is
proposed in terms of wave modes, propagating independently at the adiabatic
approximation, and described as a non-integral degree series of a small
parameter characterizing the stratified medium. A specific form of the wave
packets, which can be parameterized in terms of model functions (Airy
functions), depends on a local behavior of the dispersion curves of individual
wave mode. A modified space-time ray method was proposed, which belongs to the
class of geometrical optics methods. The key point of the proposed technique is
the possibility to derive the asymptotic representation of the solution in
terms of a non-integral degree series of the some small parameter.
