Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the...
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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/10.1155/2014/214709 |
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| _version_ | 1849687027278151680 |
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| author | Fucai You Jiao Zhang Yan Zhao |
| author_facet | Fucai You Jiao Zhang Yan Zhao |
| author_sort | Fucai You |
| collection | DOAJ |
| description | A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv. |
| format | Article |
| id | doaj-art-019e1c233d5e422bbc5cdf78d7b9d098 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-019e1c233d5e422bbc5cdf78d7b9d0982025-08-20T03:22:28ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/214709214709Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur HierarchyFucai You0Jiao Zhang1Yan Zhao2Department of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, ChinaDepartment of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, ChinaCollege of New Energy, Shenyang Institute of Engineering, Shenyang 110136, ChinaA six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv.http://dx.doi.org/10.1155/2014/214709 |
| spellingShingle | Fucai You Jiao Zhang Yan Zhao Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy Abstract and Applied Analysis |
| title | Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy |
| title_full | Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy |
| title_fullStr | Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy |
| title_full_unstemmed | Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy |
| title_short | Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy |
| title_sort | super hamiltonian structures and conservation laws of a new six component super ablowitz kaup newell segur hierarchy |
| url | http://dx.doi.org/10.1155/2014/214709 |
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