A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations
We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensio...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/848163 |
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| _version_ | 1832550223743811584 |
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| author | A. Fatima Muhammad Ayub F. M. Mahomed |
| author_facet | A. Fatima Muhammad Ayub F. M. Mahomed |
| author_sort | A. Fatima |
| collection | DOAJ |
| description | We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available. |
| format | Article |
| id | doaj-art-848b145a0e5d4b629dedbabb6aa9ceec |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-848b145a0e5d4b629dedbabb6aa9ceec2025-02-03T06:07:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/848163848163A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential EquationsA. Fatima0Muhammad Ayub1F. M. Mahomed2Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South AfricaDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanCentre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South AfricaWe provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available.http://dx.doi.org/10.1155/2013/848163 |
| spellingShingle | A. Fatima Muhammad Ayub F. M. Mahomed A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations Journal of Applied Mathematics |
| title | A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations |
| title_full | A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations |
| title_fullStr | A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations |
| title_full_unstemmed | A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations |
| title_short | A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations |
| title_sort | note on four dimensional symmetry algebras and fourth order ordinary differential equations |
| url | http://dx.doi.org/10.1155/2013/848163 |
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