Topographic solitary waves by the shooting method and Fourier spectral method
The influences of topography on barotropic Rossby solitary waves are discussed in this paper. A Boussinesq model equation of nonlinear Rossby wave amplitude is derived by using the perturbation expansion method and the space–time transformation. A classical problem we treat is the Sturm-Liouville ty...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719333844 |
| _version_ | 1818897060901945344 |
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| author | Jiaqi Zhang Ruigang Zhang Liangui Yang |
| author_facet | Jiaqi Zhang Ruigang Zhang Liangui Yang |
| author_sort | Jiaqi Zhang |
| collection | DOAJ |
| description | The influences of topography on barotropic Rossby solitary waves are discussed in this paper. A Boussinesq model equation of nonlinear Rossby wave amplitude is derived by using the perturbation expansion method and the space–time transformation. A classical problem we treat is the Sturm-Liouville type ordinary differential equation with varied coefficients and fixed boundary conditions. The shooting method is adopted, and the numerical solution of the obtained Boussinesq equation is given by using the Fourier spectral method. The effects of bottom topography and earth’s rotation are both discussed through qualitative and quantitative results, respectively. New conclusions about the topography Rossby waves are declared. |
| first_indexed | 2024-12-19T19:10:11Z |
| format | Article |
| id | doaj.art-178d587f5fdd498496c36dd219d6c35b |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T19:10:11Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-178d587f5fdd498496c36dd219d6c35b2022-12-21T20:09:19ZengElsevierResults in Physics2211-37972020-03-0116102944Topographic solitary waves by the shooting method and Fourier spectral methodJiaqi Zhang0Ruigang Zhang1Liangui Yang2School of Mathematical Sciences, Inner Mongolia University, 010021 Hohhot, ChinaSchool of Mathematical Sciences, Inner Mongolia University, 010021 Hohhot, ChinaCorresponding author.; School of Mathematical Sciences, Inner Mongolia University, 010021 Hohhot, ChinaThe influences of topography on barotropic Rossby solitary waves are discussed in this paper. A Boussinesq model equation of nonlinear Rossby wave amplitude is derived by using the perturbation expansion method and the space–time transformation. A classical problem we treat is the Sturm-Liouville type ordinary differential equation with varied coefficients and fixed boundary conditions. The shooting method is adopted, and the numerical solution of the obtained Boussinesq equation is given by using the Fourier spectral method. The effects of bottom topography and earth’s rotation are both discussed through qualitative and quantitative results, respectively. New conclusions about the topography Rossby waves are declared.http://www.sciencedirect.com/science/article/pii/S2211379719333844TopographyRossby solitary waveShooting methodFourier spectral method |
| spellingShingle | Jiaqi Zhang Ruigang Zhang Liangui Yang Topographic solitary waves by the shooting method and Fourier spectral method Results in Physics Topography Rossby solitary wave Shooting method Fourier spectral method |
| title | Topographic solitary waves by the shooting method and Fourier spectral method |
| title_full | Topographic solitary waves by the shooting method and Fourier spectral method |
| title_fullStr | Topographic solitary waves by the shooting method and Fourier spectral method |
| title_full_unstemmed | Topographic solitary waves by the shooting method and Fourier spectral method |
| title_short | Topographic solitary waves by the shooting method and Fourier spectral method |
| title_sort | topographic solitary waves by the shooting method and fourier spectral method |
| topic | Topography Rossby solitary wave Shooting method Fourier spectral method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719333844 |
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