Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution
| Autor: | Ruigang Zhang, Xiao-Jun Yin, Liangui Yang, Hongli Yang, Jin-Mei Su |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Applied Mathematics Elliptic function Rossby wave Dissipation 01 natural sciences Physics::Geophysics 010305 fluids & plasmas Computational Mathematics symbols.namesake Amplitude Classical mechanics Potential vorticity 0103 physical sciences Stream function symbols Astrophysics::Solar and Stellar Astrophysics Astrophysics::Earth and Planetary Astrophysics 010301 acoustics Nonlinear Schrödinger equation Physics::Atmospheric and Oceanic Physics Multiple-scale analysis |
| Zdroj: | Computational and Applied Mathematics. 38 |
| ISSN: | 1807-0302 2238-3603 |
| DOI: | 10.1007/s40314-019-0801-0 |
| Popis: | The physical features of the equatorial envelope Rossby waves including with complete Coriolis force and dissipation are investigated analytically. Staring with a potential vorticity equation, the wave amplitude evolution of equatorial envelope Rossby waves is described as a nonlinear Schrodinger equation by employing multiple scale analysis and perturbation expansions. The equation is more suitable for describing envelope Rossby solitary waves when the horizontal component of Coriolis force is stronger near the equator. Then, based on the Jacobi elliptic function expansion method and trial function method, the classical Rossby solitary wave solution and the corresponding stream function of the envelope Rossby solitary waves are obtained, respectively. With the help of these solutions, the effect of dissipation and the horizontal component of Coriolis parameter are discussed in detail by graphical presentations. The results reveal the effect of the horizontal component of Coriolis force and dissipation on the classical Rossby solitary waves. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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