We derive the conserved vectors for the nonlinear two-dimensional Euler equationsdescribing nonviscous incompressible fluid flows on a three-dimensional rotating sphericalsurface superimposed by a particular stationary latitude dependent flow. Under theassumption of no friction and a distribution of temperature dependent only upon latitude,the equations in question can be used to model zonal west-to-east flows in the upperatmosphere between the Ferrel and Polar cells. As a particualr example, the conserveddensities are analyzed by visualizing the exact invariant solutions associated with thegiven model for the particular form of finite disturbances for which the invariantsolutions are also exact solutions of Navier-Stokes equations.
