Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are differen...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/678725 |
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| _version_ | 1832559754110566400 |
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| author | Zhengduo Shan Hongwei Yang Baoshu Yin |
| author_facet | Zhengduo Shan Hongwei Yang Baoshu Yin |
| author_sort | Zhengduo Shan |
| collection | DOAJ |
| description | With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are different from the linear integrable couplings. Based on the variational identity, the Hamiltonian structures of the above hierarchies are derived. |
| format | Article |
| id | doaj-art-35a7297270624b9b98c9e7aa36a8cdd4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-35a7297270624b9b98c9e7aa36a8cdd42025-02-03T01:29:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/678725678725Nonlinear Integrable Couplings of Levi Hierarchy and WKI HierarchyZhengduo Shan0Hongwei Yang1Baoshu Yin2Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, ChinaWith the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are different from the linear integrable couplings. Based on the variational identity, the Hamiltonian structures of the above hierarchies are derived.http://dx.doi.org/10.1155/2014/678725 |
| spellingShingle | Zhengduo Shan Hongwei Yang Baoshu Yin Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy Abstract and Applied Analysis |
| title | Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy |
| title_full | Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy |
| title_fullStr | Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy |
| title_full_unstemmed | Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy |
| title_short | Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy |
| title_sort | nonlinear integrable couplings of levi hierarchy and wki hierarchy |
| url | http://dx.doi.org/10.1155/2014/678725 |
| work_keys_str_mv | AT zhengduoshan nonlinearintegrablecouplingsoflevihierarchyandwkihierarchy AT hongweiyang nonlinearintegrablecouplingsoflevihierarchyandwkihierarchy AT baoshuyin nonlinearintegrablecouplingsoflevihierarchyandwkihierarchy |