Abstract

Abstract Quadrupole modon solutions of the barotropic vorticity equation on a sphere are presented. These modons can be made stationary in a westerly solid-body rotation. The sphere is divided into an inner and outer region separated by a boundary circle. There are constraints on the wavenumbers of the solutions in the inner and outer region and on the radius of the circle. Then a quadrupole and a monopole of arbitrary strength can coexist with a dipole, and tripoles can be constructed. These solutions are compared with earlier results for the beta plane and the sphere. Also an equivalent barotropic model with imposed zonal background shear is considered.

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