Lie Symmetry Solution of Third Order Nonlinear Ordinary Differential Equation


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Authors

  • Oyombe Aluala Department of Mathematics and Actuarial Science, Kisii University, Kisii, Kenya
  • Oduor Okoya Michael School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya
  • Obogi Robert Department of Mathematics and Actuarial Science, Kisii University, Kisii, Kenya
  • Kerongo Joash Department of Mathematics and Actuarial Science, Kisii University, Kisii, Kenya

Keywords:

Lie groups of transformations, Lie algebras, infinitesimal transformations, extended transformations, invariance under transformations, variation symmetries, Lie theory of differential equations, reduction of order and integrating factors

Abstract

In this paper we used the method of Lie symmetry to solve and get a mathematical solution to a third order first degree nonlinear ordinary differential equation (ODE) of fourth degree in second derivative, which is common in waves of systems like water in shallow oceans because it yields exact solutions without depending on initial boundary values.

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Published

15-06-2020

How to Cite

Oyombe Aluala, Oduor Okoya Michael, Obogi Robert, & Kerongo Joash. (2020). Lie Symmetry Solution of Third Order Nonlinear Ordinary Differential Equation. International Journal of Mathematics And Its Applications, 8(2), 143–154. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/167

Issue

Vol. 8 No. 2 (2020)

Section

Research Article

License

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