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

Abstract

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.

Suggested Citation

  • Said Waqas Shah & F. M. Mahomed & H. Azad, 2021. "A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-7, March.
  • Handle: RePEc:hin:jnlmpe:6619325
    DOI: 10.1155/2021/6619325
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