Further Theoretical Considerations of Tropospheric Wave Motions in Equatorial Latitudes

The known general solution of the system of linearized equations for non-viscous, adiabatic, quasi-hydrostatic flow on an equatorially oriented @-plane is examined in detail for various boundary conditions imposed on the motion. The base state is a space-time invariant zonal current. The particular solutions examined are those in which the meridional wind component is distributed either symmetrically or asymmetrically about the equator, and is constrained either to vanish at finite distance from the equator or to decay exponentially at large distance from the equator. The various solutions considered depict disturbances which are characterized by (1) very small values of divergence which increase with wavelength (in most cases), (2) relative vorticity which is meteorologically reasonable, and (3) in general, a non-geostrophic wind-pressure relationship.