A Note on the Integration of Scalar Fourth-Order Ordinary Differential Equations with Four-Dimensional Symmetry Algebras-Reference-Cited by-同舟云学术

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

Published:2021-03-19 Issue: Volume:2021 Page:1-7
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Shah Said Waqas¹^ORCID,Mahomed F. M.²³,Azad H.¹

Affiliation:

1. Abdus Salam School of Mathematical Sciences GC University, Lahore. 68-B, New Muslim Town, Lahore 54600, Pakistan

2. DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, Wits, South Africa

3. School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia

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.

Funder

National Research Foundation

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/6619325.pdf

Reference15 articles.

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3. Four Dimensional Lie Symmetry Algebras and Fourth Order Ordinary Differential Equations

4. A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations

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