A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras
| Autor: | Said Waqas Shah, Hassan Azad, Fazal M. Mahomed |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Article Subject General Mathematics Scalar (mathematics) General Engineering Ode Engineering (General). Civil engineering (General) 01 natural sciences Symmetry (physics) 010305 fluids & plasmas Fourth order Ordinary differential equation 0103 physical sciences Homogeneous space QA1-939 Point (geometry) TA1-2040 010306 general physics Mathematics Mathematical physics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2021 (2021) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2021/6619325 |
| Popis: | The complete integration of scalar fourth-order ODEs with four-dimensional symmetry algebras is performed by utilizing Lie’s method which was invoked to integrate scalar second-order ODEs admitting two-dimensional symmetry algebras. We obtain a complete integration of all scalar fourth-order ODEs that possess four Lie point symmetries. |
| Databáze: | OpenAIRE |
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