Solitonic interactions for Rossby waves with the influence of Coriolis parameters
In the current study, the Rossby waves envelope near the equator is studied starting from a potential vorticity equation with the horizontal component of Coriolis parameter. Based on the equation, we first establish the amplitude evolution equation of the Rossby waves with complete Coriolis paramete...
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doaj-e070287e7f5f4e438c528f69407dd7992021-08-28T04:43:52ZengElsevierResults in Physics2211-37972021-09-0128104593Solitonic interactions for Rossby waves with the influence of Coriolis parametersXiaoJun Yin0QuanSheng Liu1ShengYun Ma2ShuTing Bai3College of Science, Inner Mongolia Agriculture University Hohhot 010018, ChinaSchool of Mathematical Science, Inner Mongolia University, Hohhot 010021, China; Corresponding author at: School of Mathematical Sciences, Inner Mongolia University, Hohhot, China.College of Science, Inner Mongolia Agriculture University Hohhot 010018, ChinaCollege of Science, Inner Mongolia Agriculture University Hohhot 010018, ChinaIn the current study, the Rossby waves envelope near the equator is studied starting from a potential vorticity equation with the horizontal component of Coriolis parameter. Based on the equation, we first establish the amplitude evolution equation of the Rossby waves with complete Coriolis parameter and obtain rational function solutions by means of the subsidiary ordinary differential equation method with the help of chirp-free hypothesis. Then the 1-, 2-, 3-and N-soliton solutions are also obtained by the Hirota method. For these obtained solutions, they are rarely mentioned in fluid mechanics of ocean and atmospheric motion. On the other hand, these three-dimensional stereograms of the 1-, 2-soliton solutions are depicted with the physical parameter changing. The influence of each parameter on wave amplitude, the peak position and propagation direction of Rossby waves are discussed. The results show that the horizontal Coriolis parameter only alter the phase shift of the Rossby waves amplitude for the 1-soliton and 2-soliton solution. These results are of great significance for further theoretical research in geophysical fluid.http://www.sciencedirect.com/science/article/pii/S2211379721006902Rossby wavesSolitonThe Hirota methodSubsidiary ordinary differential equation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
XiaoJun Yin QuanSheng Liu ShengYun Ma ShuTing Bai |
spellingShingle |
XiaoJun Yin QuanSheng Liu ShengYun Ma ShuTing Bai Solitonic interactions for Rossby waves with the influence of Coriolis parameters Results in Physics Rossby waves Soliton The Hirota method Subsidiary ordinary differential equation |
author_facet |
XiaoJun Yin QuanSheng Liu ShengYun Ma ShuTing Bai |
author_sort |
XiaoJun Yin |
title |
Solitonic interactions for Rossby waves with the influence of Coriolis parameters |
title_short |
Solitonic interactions for Rossby waves with the influence of Coriolis parameters |
title_full |
Solitonic interactions for Rossby waves with the influence of Coriolis parameters |
title_fullStr |
Solitonic interactions for Rossby waves with the influence of Coriolis parameters |
title_full_unstemmed |
Solitonic interactions for Rossby waves with the influence of Coriolis parameters |
title_sort |
solitonic interactions for rossby waves with the influence of coriolis parameters |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2021-09-01 |
description |
In the current study, the Rossby waves envelope near the equator is studied starting from a potential vorticity equation with the horizontal component of Coriolis parameter. Based on the equation, we first establish the amplitude evolution equation of the Rossby waves with complete Coriolis parameter and obtain rational function solutions by means of the subsidiary ordinary differential equation method with the help of chirp-free hypothesis. Then the 1-, 2-, 3-and N-soliton solutions are also obtained by the Hirota method. For these obtained solutions, they are rarely mentioned in fluid mechanics of ocean and atmospheric motion. On the other hand, these three-dimensional stereograms of the 1-, 2-soliton solutions are depicted with the physical parameter changing. The influence of each parameter on wave amplitude, the peak position and propagation direction of Rossby waves are discussed. The results show that the horizontal Coriolis parameter only alter the phase shift of the Rossby waves amplitude for the 1-soliton and 2-soliton solution. These results are of great significance for further theoretical research in geophysical fluid. |
topic |
Rossby waves Soliton The Hirota method Subsidiary ordinary differential equation |
url |
http://www.sciencedirect.com/science/article/pii/S2211379721006902 |
work_keys_str_mv |
AT xiaojunyin solitonicinteractionsforrossbywaveswiththeinfluenceofcoriolisparameters AT quanshengliu solitonicinteractionsforrossbywaveswiththeinfluenceofcoriolisparameters AT shengyunma solitonicinteractionsforrossbywaveswiththeinfluenceofcoriolisparameters AT shutingbai solitonicinteractionsforrossbywaveswiththeinfluenceofcoriolisparameters |
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1721187800410226688 |