Coupled Ostrovsky equations for internal waves in a shear flow
نویسندگان
چکیده
In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid in the presence of shear flow are investigated both analytically, using techniques from asymptotic perturbation theory, and through numerical simulations. The dispersion relation of the system discloses various behaviours of weakly nonlinear oceanic internal waves including the existence of unsteady and steady envelope wave packets.
منابع مشابه
On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations.
In the weakly nonlinear limit, oceanic internal solitary waves for a single linear long wave mode are described by the KdV equation, extended to the Ostrovsky equation in the presence of background rotation. In this paper we consider the scenario when two different linear long wave modes have nearly coincident phase speeds and show that the appropriate model is a system of two coupled Ostrovsky...
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