Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System
An algorithm of constructing infinitely many symplectic realizations of generalized sl(2) Gaudin magnet is proposed. Based on this algorithm, the consecutive Rosochatius deformations of integrable Hamiltonian systems are presented. As examples, the consecutive Rosochatius deformations of the Garnier...
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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/10.1155/2014/275450 |
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| _version_ | 1832567015103004672 |
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| author | Baoqiang Xia Ruguang Zhou |
| author_facet | Baoqiang Xia Ruguang Zhou |
| author_sort | Baoqiang Xia |
| collection | DOAJ |
| description | An algorithm of constructing infinitely many symplectic realizations of generalized sl(2) Gaudin magnet is proposed. Based on this algorithm, the consecutive Rosochatius deformations of integrable Hamiltonian systems are presented. As examples, the consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system as well as their Lax representations, are obtained. |
| format | Article |
| id | doaj-art-e6aa2862a2d34ac1a554aec003af6aa6 |
| 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-e6aa2862a2d34ac1a554aec003af6aa62025-02-03T01:02:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/275450275450Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles SystemBaoqiang Xia0Ruguang Zhou1School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, ChinaAn algorithm of constructing infinitely many symplectic realizations of generalized sl(2) Gaudin magnet is proposed. Based on this algorithm, the consecutive Rosochatius deformations of integrable Hamiltonian systems are presented. As examples, the consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system as well as their Lax representations, are obtained.http://dx.doi.org/10.1155/2014/275450 |
| spellingShingle | Baoqiang Xia Ruguang Zhou Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System Abstract and Applied Analysis |
| title | Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System |
| title_full | Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System |
| title_fullStr | Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System |
| title_full_unstemmed | Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System |
| title_short | Consecutive Rosochatius Deformations of the Garnier System and the Hénon-Heiles System |
| title_sort | consecutive rosochatius deformations of the garnier system and the henon heiles system |
| url | http://dx.doi.org/10.1155/2014/275450 |
| work_keys_str_mv | AT baoqiangxia consecutiverosochatiusdeformationsofthegarniersystemandthehenonheilessystem AT ruguangzhou consecutiverosochatiusdeformationsofthegarniersystemandthehenonheilessystem |