New Applications of a Kind of Infinitesimal-Operator Lie Algebra
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use o...
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| Main Authors: | , , |
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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/10.1155/2016/7639013 |
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| _version_ | 1832568506735919104 |
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| author | Honwah Tam Yufeng Zhang Xiangzhi Zhang |
| author_facet | Honwah Tam Yufeng Zhang Xiangzhi Zhang |
| author_sort | Honwah Tam |
| collection | DOAJ |
| description | Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1+1) and (2+1) dimensions. |
| format | Article |
| id | doaj-art-7a1a310caffe491380e80531d3b20bee |
| 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-7a1a310caffe491380e80531d3b20bee2025-02-03T00:58:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/76390137639013New Applications of a Kind of Infinitesimal-Operator Lie AlgebraHonwah Tam0Yufeng Zhang1Xiangzhi Zhang2Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong KongCollege of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaApplying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1+1) and (2+1) dimensions.http://dx.doi.org/10.1155/2016/7639013 |
| spellingShingle | Honwah Tam Yufeng Zhang Xiangzhi Zhang New Applications of a Kind of Infinitesimal-Operator Lie Algebra Advances in Mathematical Physics |
| title | New Applications of a Kind of Infinitesimal-Operator Lie Algebra |
| title_full | New Applications of a Kind of Infinitesimal-Operator Lie Algebra |
| title_fullStr | New Applications of a Kind of Infinitesimal-Operator Lie Algebra |
| title_full_unstemmed | New Applications of a Kind of Infinitesimal-Operator Lie Algebra |
| title_short | New Applications of a Kind of Infinitesimal-Operator Lie Algebra |
| title_sort | new applications of a kind of infinitesimal operator lie algebra |
| url | http://dx.doi.org/10.1155/2016/7639013 |
| work_keys_str_mv | AT honwahtam newapplicationsofakindofinfinitesimaloperatorliealgebra AT yufengzhang newapplicationsofakindofinfinitesimaloperatorliealgebra AT xiangzhizhang newapplicationsofakindofinfinitesimaloperatorliealgebra |