Adiabatic decay of internal solitons in a rotating ocean (original) (raw)

The adiabatic decay of different types of internal wave solitons caused by the Earth’ rotation is considered within the framework of the Gardner–Ostrovsky equation. The governing equation describing such processes includes quadratic and cubic nonlinear terms, as well as the Boussinesq and Coriolis dispersions. It is shown that at the early stage of evolution solitons gradually decay under the influence of weak Earth’ rotation. The characteristic decay time is derived for different types of solitons.