New Neumann System Associated with a 3 × 3 Matrix Spectral Problem
The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. As an application, solutions of the first nontrivial e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/708603 |
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| _version_ | 1832547103935561728 |
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| author | Fang Li Liping Lu |
| author_facet | Fang Li Liping Lu |
| author_sort | Fang Li |
| collection | DOAJ |
| description | The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. As an application, solutions of the first nontrivial equation related to the 3 × 3 matrix spectral problem are decomposed into solving two compatible Hamiltonian systems of ordinary differential equations. |
| format | Article |
| id | doaj-art-b13b0f0fe31c4780bbc638fb78e21d1a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b13b0f0fe31c4780bbc638fb78e21d1a2025-02-03T06:46:04ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/708603708603New Neumann System Associated with a 3 × 3 Matrix Spectral ProblemFang Li0Liping Lu1College of Science, Henan University of Technology, 100 Lianhua Road, Zhengzhou, Henan 450001, ChinaDepartment of Information Engineering, Henan College of Finance and Taxation, Zhengkai Road, Zhengzhou, Henan 451464, ChinaThe nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. As an application, solutions of the first nontrivial equation related to the 3 × 3 matrix spectral problem are decomposed into solving two compatible Hamiltonian systems of ordinary differential equations.http://dx.doi.org/10.1155/2014/708603 |
| spellingShingle | Fang Li Liping Lu New Neumann System Associated with a 3 × 3 Matrix Spectral Problem Advances in Mathematical Physics |
| title | New Neumann System Associated with a 3 × 3 Matrix Spectral Problem |
| title_full | New Neumann System Associated with a 3 × 3 Matrix Spectral Problem |
| title_fullStr | New Neumann System Associated with a 3 × 3 Matrix Spectral Problem |
| title_full_unstemmed | New Neumann System Associated with a 3 × 3 Matrix Spectral Problem |
| title_short | New Neumann System Associated with a 3 × 3 Matrix Spectral Problem |
| title_sort | new neumann system associated with a 3 3 matrix spectral problem |
| url | http://dx.doi.org/10.1155/2014/708603 |
| work_keys_str_mv | AT fangli newneumannsystemassociatedwitha33matrixspectralproblem AT lipinglu newneumannsystemassociatedwitha33matrixspectralproblem |