On the dynamics of nonlinear Rossby solitary waves via the Ostrovsky hierarchy
Zhihui Zhang,
Ruigang Zhang,
Liangui Yang
et al.
Abstract:The impact mechanisms of large-scale atmospheric and ocean dynamics on weather and climate change have long been a focus of attention. In this paper, based on the generalized β-plane approximation with turbulence dissipation and forcing terms, we derived the Ostrovsky equation describing the evolution of Rossby wave amplitudes using multiscale and perturbation expansion methods. This is the first derivation of the Ostrovsky equation from the quasi-geostrophic potential vorticity conservation equation. A detail… Show more
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