A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure
Associated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/3589704 |
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| author | Yuqin Yao Shoufeng Shen Wen-Xiu Ma |
| author_facet | Yuqin Yao Shoufeng Shen Wen-Xiu Ma |
| author_sort | Yuqin Yao |
| collection | DOAJ |
| description | Associated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability. |
| format | Article |
| id | doaj-art-174f27e55676401e9ee0d4d0b34475dd |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-174f27e55676401e9ee0d4d0b34475dd2025-02-03T01:24:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/35897043589704A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian StructureYuqin Yao0Shoufeng Shen1Wen-Xiu Ma2Department of Applied Mathematics, China Agricultural University, Beijing 100083, ChinaDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USADepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USAAssociated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.http://dx.doi.org/10.1155/2016/3589704 |
| spellingShingle | Yuqin Yao Shoufeng Shen Wen-Xiu Ma A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure Advances in Mathematical Physics |
| title | A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure |
| title_full | A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure |
| title_fullStr | A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure |
| title_full_unstemmed | A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure |
| title_short | A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure |
| title_sort | soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi hamiltonian structure |
| url | http://dx.doi.org/10.1155/2016/3589704 |
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