On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation
In this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equ...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/6838731 |
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| _version_ | 1841524480873070592 |
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| author | Xuemei Li Lutong Li |
| author_facet | Xuemei Li Lutong Li |
| author_sort | Xuemei Li |
| collection | DOAJ |
| description | In this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equation are constructed by using spectral parameter expansions. |
| format | Article |
| id | doaj-art-b00ad2233b9042b386b8e508d1abae43 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b00ad2233b9042b386b8e508d1abae432025-02-03T05:53:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/68387316838731On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa EquationXuemei Li0Lutong Li1School of Mathematics and Statistics, Zhengzhou University, 100 Kexue Road, Zhengzhou 450001, ChinaSchool of Mathematics and Statistics, Zhengzhou University, 100 Kexue Road, Zhengzhou 450001, ChinaIn this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equation are constructed by using spectral parameter expansions.http://dx.doi.org/10.1155/2020/6838731 |
| spellingShingle | Xuemei Li Lutong Li On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation Advances in Mathematical Physics |
| title | On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation |
| title_full | On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation |
| title_fullStr | On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation |
| title_full_unstemmed | On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation |
| title_short | On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation |
| title_sort | on construction of a super hierarchy of the wadati konno ichikawa equation |
| url | http://dx.doi.org/10.1155/2020/6838731 |
| work_keys_str_mv | AT xuemeili onconstructionofasuperhierarchyofthewadatikonnoichikawaequation AT lutongli onconstructionofasuperhierarchyofthewadatikonnoichikawaequation |