On the lie symmetries of first-order ordinary differential equations

Bildik N., Aç M.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21 - 27 September 2013, vol.1558, pp.2575-2578, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1558
  • Doi Number: 10.1063/1.4826064
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.2575-2578
  • Keywords: Lie symmetry, ordinary differential equation, infinitesimal, infinitesimal generator, linearized symmetry condition
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this work, we consider first-order ordinary differential equations which have no systematic way to find their Lie symmetries unlike higher order differential equations. Our aim is to use second-order ordinary differential equations derived from the first-order ordinary differential equations in order to resolve this important deficiency for the first-order ordinary differential equations. Before we mention about finding the Lie symmetries of the ordinary differential equations briefly. Later on we present some of the examples related with the subject. © 2013 AIP Publishing LLC.