Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem
A lattice hierarchy with self-consistent sources is deduced starting from a three-by-three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservat...
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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/10.1155/2014/235159 |
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| _version_ | 1832555472489545728 |
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| author | Yu-Qing Li Bao-Shu Yin |
| author_facet | Yu-Qing Li Bao-Shu Yin |
| author_sort | Yu-Qing Li |
| collection | DOAJ |
| description | A lattice hierarchy with self-consistent sources is deduced starting from a three-by-three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservation laws of the resulting hierarchy are obtained. |
| format | Article |
| id | doaj-art-6e67989f2e084314be3c3f1e2609ff76 |
| 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-6e67989f2e084314be3c3f1e2609ff762025-02-03T05:48:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/235159235159Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral ProblemYu-Qing Li0Bao-Shu Yin1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, China Academy of Sciences, Qingdao 266071, ChinaA lattice hierarchy with self-consistent sources is deduced starting from a three-by-three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservation laws of the resulting hierarchy are obtained.http://dx.doi.org/10.1155/2014/235159 |
| spellingShingle | Yu-Qing Li Bao-Shu Yin Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem Abstract and Applied Analysis |
| title | Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem |
| title_full | Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem |
| title_fullStr | Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem |
| title_full_unstemmed | Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem |
| title_short | Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem |
| title_sort | conservation laws and self consistent sources for an integrable lattice hierarchy associated with a three by three discrete matrix spectral problem |
| url | http://dx.doi.org/10.1155/2014/235159 |
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