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Rossby waves with the change of \(\beta \) and the influence of topography in a two-layer fluid. (English) Zbl 1399.76017

Summary: In this paper, we study the problem of the change of Rossby parameter and the topography in a two-layer fluid. Based on the traveling wave method and the perturbation method, the Rossby wave amplitude is obtained to satisfy the homogeneous KdV equation and the homogeneous mKdV equation, which describe the evolution of the amplitude of solitary Rossby waves. The effects of Rossby parameters and topography on Rossby wave are generalized.

MSC:

76B65 Rossby waves (MSC2010)
86A10 Meteorology and atmospheric physics
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