Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion
The evolution of nonlinear gravity solitary waves in the atmosphere is related to the formation of severe weather. The nonlinear concentration of gravity solitary wave leads to energy accumulation, which further forms the disastrous weather phenomenon such as squall line. This paper theoretically pr...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/7609582 |
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| author | Liguo Chen Liangui Yang |
| author_facet | Liguo Chen Liangui Yang |
| author_sort | Liguo Chen |
| collection | DOAJ |
| description | The evolution of nonlinear gravity solitary waves in the atmosphere is related to the formation of severe weather. The nonlinear concentration of gravity solitary wave leads to energy accumulation, which further forms the disastrous weather phenomenon such as squall line. This paper theoretically proves that the formation of squall line in baroclinic nonstatic equilibrium atmosphere can be reduced to the fission process of algebraic gravity solitary waves described by the (2 + 1)-dimensional generalized Boussinesq-BO (B-BO) equation. Compared with previous models describing isolated waves, the Boussinesq-BO model can describe the propagation process of waves in two media, which is more suitable for actual atmospheric conditions. In order to explore more structural features of this solitary wave, the derived integer order model is transformed into the more practical time fractional-order model by using the variational method. By obtaining the exact solution and the conservation laws, the fission properties of algebraic gravity solitary waves are discussed. When the disturbance with limited width appears along the low-level jet stream, these solitary waves can be excited. When the disturbance intensity and width reach a certain value, solitary wave formation takes place, which is exactly the squall line or thunderstorm formation observed in the atmosphere. |
| format | Article |
| id | doaj-art-ee02f4b6704c4ca0a636c7715488f168 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ee02f4b6704c4ca0a636c7715488f1682025-02-03T01:01:32ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/76095827609582Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric MotionLiguo Chen0Liangui Yang1School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaThe evolution of nonlinear gravity solitary waves in the atmosphere is related to the formation of severe weather. The nonlinear concentration of gravity solitary wave leads to energy accumulation, which further forms the disastrous weather phenomenon such as squall line. This paper theoretically proves that the formation of squall line in baroclinic nonstatic equilibrium atmosphere can be reduced to the fission process of algebraic gravity solitary waves described by the (2 + 1)-dimensional generalized Boussinesq-BO (B-BO) equation. Compared with previous models describing isolated waves, the Boussinesq-BO model can describe the propagation process of waves in two media, which is more suitable for actual atmospheric conditions. In order to explore more structural features of this solitary wave, the derived integer order model is transformed into the more practical time fractional-order model by using the variational method. By obtaining the exact solution and the conservation laws, the fission properties of algebraic gravity solitary waves are discussed. When the disturbance with limited width appears along the low-level jet stream, these solitary waves can be excited. When the disturbance intensity and width reach a certain value, solitary wave formation takes place, which is exactly the squall line or thunderstorm formation observed in the atmosphere.http://dx.doi.org/10.1155/2020/7609582 |
| spellingShingle | Liguo Chen Liangui Yang Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion Complexity |
| title | Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion |
| title_full | Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion |
| title_fullStr | Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion |
| title_full_unstemmed | Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion |
| title_short | Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion |
| title_sort | fractional theoretical model for gravity waves and squall line in complex atmospheric motion |
| url | http://dx.doi.org/10.1155/2020/7609582 |
| work_keys_str_mv | AT liguochen fractionaltheoreticalmodelforgravitywavesandsqualllineincomplexatmosphericmotion AT lianguiyang fractionaltheoreticalmodelforgravitywavesandsqualllineincomplexatmosphericmotion |