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, Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.2575-2578, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1558
  • Doi Numarası: 10.1063/1.4826064
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.2575-2578
  • Anahtar Kelimeler: Lie symmetry, ordinary differential equation, infinitesimal, infinitesimal generator, linearized symmetry condition
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.