(2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves
By constructing a kind of generalized Lie algebra, based on generalized Tu scheme, a new (2+1)-dimensional mKdV hierarchy is derived which popularizes the results of (1+1)-dimensional integrable system. Furthermore, the (2+1)-dimensional mKdV equation can be applied to describe the propagation of th...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/126508 |
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| author | Chunlei Wang Yong Zhang Baoshu Yin Xiaoen Zhang |
| author_facet | Chunlei Wang Yong Zhang Baoshu Yin Xiaoen Zhang |
| author_sort | Chunlei Wang |
| collection | DOAJ |
| description | By constructing a kind of generalized Lie algebra, based on generalized Tu scheme, a new (2+1)-dimensional mKdV hierarchy is derived which popularizes the results of (1+1)-dimensional integrable system. Furthermore, the (2+1)-dimensional mKdV equation can be applied to describe the propagation of the Rossby solitary waves in the plane of ocean and atmosphere, which is different from the (1+1)-dimensional mKdV equation. By virtue of Riccati equation, some solutions of (2+1)-dimensional mKdV equation are obtained. With the help of solitary wave solutions, similar to the fiber soliton communication, the chirp effect of Rossby solitary waves is discussed and some conclusions are given. |
| format | Article |
| id | doaj-art-bd89721aad3d4839bfff5f3615d3c190 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-bd89721aad3d4839bfff5f3615d3c1902025-02-03T05:52:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/126508126508(2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary WavesChunlei Wang0Yong Zhang1Baoshu Yin2Xiaoen Zhang3College of Mathematics and Systems Science, Beihang University, Beijing 100083, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaBy constructing a kind of generalized Lie algebra, based on generalized Tu scheme, a new (2+1)-dimensional mKdV hierarchy is derived which popularizes the results of (1+1)-dimensional integrable system. Furthermore, the (2+1)-dimensional mKdV equation can be applied to describe the propagation of the Rossby solitary waves in the plane of ocean and atmosphere, which is different from the (1+1)-dimensional mKdV equation. By virtue of Riccati equation, some solutions of (2+1)-dimensional mKdV equation are obtained. With the help of solitary wave solutions, similar to the fiber soliton communication, the chirp effect of Rossby solitary waves is discussed and some conclusions are given.http://dx.doi.org/10.1155/2015/126508 |
| spellingShingle | Chunlei Wang Yong Zhang Baoshu Yin Xiaoen Zhang (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves Advances in Mathematical Physics |
| title | (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves |
| title_full | (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves |
| title_fullStr | (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves |
| title_full_unstemmed | (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves |
| title_short | (2+1)-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves |
| title_sort | 2 1 dimensional mkdv hierarchy and chirp effect of rossby solitary waves |
| url | http://dx.doi.org/10.1155/2015/126508 |
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