Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)
Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature e...
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| Main Authors: | , , |
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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/10.1155/2015/857684 |
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| _version_ | 1832547289461161984 |
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| author | Yan Cao Liangyun Chen Baiying He |
| author_facet | Yan Cao Liangyun Chen Baiying He |
| author_sort | Yan Cao |
| collection | DOAJ |
| description | Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Hamiltonian structures of the obtained bi-integrable couplings are constructed by the variational identity. |
| format | Article |
| id | doaj-art-6b74a4abbbd04e23bf93042f6b911dd8 |
| 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-6b74a4abbbd04e23bf93042f6b911dd82025-02-03T06:45:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/857684857684Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)Yan Cao0Liangyun Chen1Baiying He2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaBased on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Hamiltonian structures of the obtained bi-integrable couplings are constructed by the variational identity.http://dx.doi.org/10.1155/2015/857684 |
| spellingShingle | Yan Cao Liangyun Chen Baiying He Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) Advances in Mathematical Physics |
| title | Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) |
| title_full | Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) |
| title_fullStr | Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) |
| title_full_unstemmed | Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) |
| title_short | Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) |
| title_sort | bi integrable couplings of a new soliton hierarchy associated with so 4 |
| url | http://dx.doi.org/10.1155/2015/857684 |
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