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The adiabatic decay of different types of internal wave solitons caused bythe Earth rotation is studied within the framework of the Gardner-Ostrovskyequation. The governing equation describing such processes includes quadraticand cubic nonlinear terms, as well as the Boussinesq and Coriolis dispersions.It is shown that at the early stage of evolution solitons gradually decay underthe influence of weak Earth rotation. The characteristic decay time is derivedfor different types of solitons for positive and negative coefficient of cubicnonlinearity (both signs of that parameter may occur in the oceans). Thecoefficient of quadratic nonlinearity determines only a polarity of solitarywave. It is found that the adiabatic theory describes well the decay ofsolitons having bell-shaped profiles. In contrast to that, large amplitudetable-top solitons, which can exist when the cubic nonlinear term is negative,are structurally unstable. Under the influence of Earth rotation they transferfirst to the bell-shaped solitons, which decay then adiabatically. Estimates ofthe characteristic decay time of internal solitons are presented for the realoceanographic conditions.

Adiabatic decay of internal solitons due to the Earth rotation within the framework of the Gardner-Ostrovsky equation