Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra
| Author | Al-Dweik A.Y. |
| Author | Mustafa M.T. |
| Author | Mahomed F.M. |
| Available date | 2020-03-18T08:10:08Z |
| Publication Date | 2018 |
| Publication Name | Mathematical Methods in the Applied Sciences |
| Resource | Scopus |
| ISSN | 1704214 |
| Abstract | The Cartan equivalence method is used to deduce an invariant characterization of the scalar third-order ordinary differential equation u"' = f(x, u, u', u"), which admits the maximal 7-dimensional point symmetry Lie algebra. The method provides auxiliary functions that can be used to efficiently obtain the point transformation that does the reduction to the simplest linear equation u"' = 0. Moreover, examples are given to illustrate the method. Copyright ? 2018 John Wiley & Sons, Ltd. |
| Language | en |
| Publisher | John Wiley and Sons Ltd |
| Subject | invariant characterization Lie point symmetries scalar third-order ordinary differential equation the Cartan equivalence method |
| Type | Article |
| Pagination | 4714 - 4723 |
| Issue Number | 12 |
| Volume Number | 41 |
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Mathematics, Statistics & Physics [666 items ]