A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras

Shah Said Waqas; Mahomed F. M.; Azad H.

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A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras

机译：A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras

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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.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2021年第12期|6619325.1-6619325.7|共7页
作者
Shah Said Waqas; Mahomed F. M.; Azad H.;
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Abdus Salam Sch Math Sci GC Univ, Lahore 68-B, Lahore 54600, Pakistan;

Univ Witwatersrand, DSI NRF Ctr Excellence Math & Stat Sci, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa|Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia;

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A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras

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