ANALYTICAL SOLUTIONS FOR CIRCULAR EDDIES OF THE REDUCED-GRAVITY, SHALLOW-WATER EQUATIONS

New analytical, circular eddy solutions of the nonlinear, reduced-grav ity, shallow-water equations in a rotating system are presented. While previous analytical solutions were limited to the description of puls ons, which are oscillating, frontal, warm-core eddies with paraboloidi c shape and linear velocity components, the new solutions describe mor e general radial structures of eddy shape and azimuthal velocity. In p articular, the new solutions, which contain as a subset the circular p ulson solution, also allow for the description of circular, frontal, w arm-core eddies with small azimuthal velocities at their periphery and /or with motionless cores, which are frequently observed characteristi cs of warm-core eddies in the World Ocean.