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Modified KdV equations for solitary Rossby waves with nonlinear topography in barotropic fluids

Jian Song

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Abstract

The modify Korteweg-de Vries (mKdV) equations,governing the evolution of the amplitude of solitary Rossby waves,are derived from the quasi-geostrophic vorticity equation by using the weakly nonlinear method and perturbation method.The result indicaes that the nonlinear topography effect with the change of latitude can induce solitary Rossby waves.

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What this paper is about

The modify Korteweg-de Vries (mKdV) equations,governing the evolution of the amplitude of solitary Rossby waves,are derived from the quasi-geostrophic vorticity equation by using the weakly nonlinear method and perturbation method.The result indicaes that the nonlinear topography effect with the change of latitude can induce solitary Rossby waves.

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Available abstract

The modify Korteweg-de Vries (mKdV) equations,governing the evolution of the amplitude of solitary Rossby waves,are derived from the quasi-geostrophic vorticity equation by using the weakly nonlinear method and perturbation method.The result indicaes that the nonlinear topography effect with the change of latitude can induce solitary Rossby waves.

Key concepts: Rossby wave, Barotropic fluid, Korteweg–de Vries equation, Nonlinear system, Rossby radius of deformation, Rossby number, Perturbation (astronomy), Amplitude

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