First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry
Complete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from two to eight. The corresponding Hamiltonian systems are constructed and it is shown that their general solutions can also be found by a simp...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/7302081 |
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| _version_ | 1849684386608316416 |
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| author | J. C. Ndogmo |
| author_facet | J. C. Ndogmo |
| author_sort | J. C. Ndogmo |
| collection | DOAJ |
| description | Complete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from two to eight. The corresponding Hamiltonian systems are constructed and it is shown that their general solutions can also be found by a simple superposition formula from the solutions of a scalar second-order source equation. |
| format | Article |
| id | doaj-art-c1c8b736d99c4584835d992e29d94f50 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c1c8b736d99c4584835d992e29d94f502025-08-20T03:23:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/73020817302081First Integrals and Hamiltonians of Some Classes of ODEs of Maximal SymmetryJ. C. Ndogmo0Department of Mathematics and Applied Mathematics, University of Venda, P/B X5050, Thohoyandou, Limpopo 0950, South AfricaComplete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from two to eight. The corresponding Hamiltonian systems are constructed and it is shown that their general solutions can also be found by a simple superposition formula from the solutions of a scalar second-order source equation.http://dx.doi.org/10.1155/2017/7302081 |
| spellingShingle | J. C. Ndogmo First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry Journal of Applied Mathematics |
| title | First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry |
| title_full | First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry |
| title_fullStr | First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry |
| title_full_unstemmed | First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry |
| title_short | First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry |
| title_sort | first integrals and hamiltonians of some classes of odes of maximal symmetry |
| url | http://dx.doi.org/10.1155/2017/7302081 |
| work_keys_str_mv | AT jcndogmo firstintegralsandhamiltoniansofsomeclassesofodesofmaximalsymmetry |