Solitary waves of two-layer quasi-geostrophic flow and analytical solutions with scalar nonlinearity |
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| Affiliation: | 1. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China;2. Nanjing Vocational Institute of Transport Technology, Nanjing 211188, China;3. Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519000, China;4. School of Marine Sciences, Nanjing University of Information Science and Technology, Nanjing 210044, China;1. Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada;2. Department of Mathematics, Faculty of Science and Horticulture, Kwantlen Polytechnic University, Surrey, British Columbia V3W 2MB, Canada;3. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China;4. School of Mathematics, University of the Witwatersrand, P Bag 3 Wits, Johannesburg 2050 South Africa;1. Alfred Wegener Institute for Polar and Marine Research, Research Unit Potsdam, Am Telegraphenberg A43, 14473 Potsdam, Germany;2. Zuse Institute Berlin, Takustraße 7, 14195 Berlin, Germany;1. Department of Earth Sciences, Science and Research Branch, Islamic Azad University, Tehran, Iran;2. Department of Space Physics, Institute of Geophysics, University of Tehran, Iran |
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| Abstract: | In this paper we investigate the instability of two-layer quasi-geostrophic model with scalar nonlinearity, which is a geophysical fluid dynamics model, and give a nonlinear stability criterion. Furthermore, the analytical solutions of the two-layer quasi-geostrophic model are obtained via the Jacobi elliptic periodic function transform method and symbolic computation. It is efficient in solving a range classes of nonlinear partial differential equations for this method. The result shows that the structure of Rossby waves is influenced by many factors such as base flow and scalar nonlinearity. |
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| Keywords: | Solitary waves Nonlinear instability Jacobi elliptic function Scalar nonlinearity |
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