Abstract
The Rossby solitary waves in the barotropic vorticity model which contains the topography on the earth’s δ-surface is investigated. First, applying scale analysis method, obtained the generalized quasi-geostrophic potential vorticity equation (QGPVE). Using The Wentzel–Kramers–Brillouin (WKB) theory, the evolution equation of Rossby waves is the variable-coefficient Korteweg–de Vries (KdV) equation for the barotropic atmospheric model. In order to study the Rossby waves structural change to exist in some basic flow and topography on the δ-surface approximation, the variable coefficient of KdV equation must be explicitly, Chebyshev polynomials is used to solve a Sturm-Liouville-type eigenvalue problem and the eigenvalue Rossby waves, these solutions show that the parameter δ usually plays the stable part in Rossby waves and slow down the growing or decaying of Rossby waves with the parameter β.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 41765004
Funding source: The Natural Science Foundation of Inner Mongolia
Award Identifier / Grant number: 2018LH04005
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grant No. 41765004) and the Natural Science Foundation of Inner Mongolia (Grant No. 2018LH04005).
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: This research was supported by the National Natural Science Foundation of China; 41765004, and The Natural Science Foundation of Inner Mongolia; 2018LH04005
Conflict of interest statement: The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.
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