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2017•Unpublished venueRequires access

ROSSBY WAVES WITH THE CHANGE OF β AND THE INFLUENCE OF TOPOGRAPHY IN A TWO-LAYER FLUID

Jian Song, Quansheng Liu, Rui-ting Cen, Liangui Yang

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Abstract

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 efiects of Rossby parameters and topography on Rossby wave are generalized.

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What this paper is about

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 efiects of Rossby parameters and topography on Rossby wave are generalized.

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Available abstract

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 efiects of Rossby parameters and topography on Rossby wave are generalized.

Key concepts: Rossby wave, Rossby radius of deformation, Rossby number, Amplitude, Homogeneous, Perturbation (astronomy), Korteweg–de Vries equation, Physics

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