Symmetries, Associated First Integrals, and Double Reduction of Difference Equations
We determine the symmetry generators of some ordinary difference equations and proceeded to find the first integral and reduce the order of the difference equations. We show that, in some cases, the symmetry generator and first integral are associated via the “invariance condition.” That is, the fir...
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| Main Authors: | , , , |
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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/10.1155/2014/490165 |
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| _version_ | 1832566578589204480 |
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| author | L. Ndlovu M. Folly-Gbetoula A. H. Kara A. Love |
| author_facet | L. Ndlovu M. Folly-Gbetoula A. H. Kara A. Love |
| author_sort | L. Ndlovu |
| collection | DOAJ |
| description | We determine the symmetry generators of some ordinary difference equations and proceeded to find the first integral and reduce the order of the difference equations. We show that, in some cases, the symmetry generator and first integral are associated via the “invariance condition.” That is, the first integral may be invariant under the symmetry of the original difference equation. When this condition is satisfied, we may proceed to double reduction of the difference equation. |
| format | Article |
| id | doaj-art-e22f51ba34684a618b34c9b62837a731 |
| 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-e22f51ba34684a618b34c9b62837a7312025-02-03T01:03:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/490165490165Symmetries, Associated First Integrals, and Double Reduction of Difference EquationsL. Ndlovu0M. Folly-Gbetoula1A. H. Kara2A. Love3School of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South AfricaSchool of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South AfricaSchool of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South AfricaSchool of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South AfricaWe determine the symmetry generators of some ordinary difference equations and proceeded to find the first integral and reduce the order of the difference equations. We show that, in some cases, the symmetry generator and first integral are associated via the “invariance condition.” That is, the first integral may be invariant under the symmetry of the original difference equation. When this condition is satisfied, we may proceed to double reduction of the difference equation.http://dx.doi.org/10.1155/2014/490165 |
| spellingShingle | L. Ndlovu M. Folly-Gbetoula A. H. Kara A. Love Symmetries, Associated First Integrals, and Double Reduction of Difference Equations Abstract and Applied Analysis |
| title | Symmetries, Associated First Integrals, and Double Reduction of Difference Equations |
| title_full | Symmetries, Associated First Integrals, and Double Reduction of Difference Equations |
| title_fullStr | Symmetries, Associated First Integrals, and Double Reduction of Difference Equations |
| title_full_unstemmed | Symmetries, Associated First Integrals, and Double Reduction of Difference Equations |
| title_short | Symmetries, Associated First Integrals, and Double Reduction of Difference Equations |
| title_sort | symmetries associated first integrals and double reduction of difference equations |
| url | http://dx.doi.org/10.1155/2014/490165 |
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