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In the frame of shallow water model the influence of free surface action onnonlinear propagation of planetary ULF magnetized Rossby waves in the weaklyionized ionospheric D-, E-, and F-layers is revealed. Relevant nonlineardynamic equations satisfying several conservation laws are obtained andinvestigated. The role of Hall and Pedersen conductivities is investigatedexplicitly. It is shown that while potential vorticity is conserved in theionospheric D-,and E-layer it is broken by Pedersen conductivity in theionospheric F-layer. Similar to KdV nonlinearity two new scalar nonlinearitiesdue to Pedersen conductivity are revealed in the F-layer. Obtained resultsextend and complement known theoretical investigations and are especiallyrelevant for nonlinear vortical propagation of magnetized Rossby waves in theweakly ionized ionospheric plasma.

On magnetized Rossby wave dynamics in the earth's ionosphere