Finding the Lie Symmetries of Some First-Order Odes via Induced Characteristic

Mehmet AÇİL; Ali KONURALP; Necdet BİLDİK

Finding the Lie Symmetries of Some First-Order Odes via Induced Characteristic

Date

2017

Authors

Mehmet AÇİL

Ali KONURALP

Necdet BİLDİK

Abstract

In this paper, the first-order ODEs which have no systematic way to find their Lie point symmetries unlike higher order ODEs which have systematic ways- are reconsidered. As a first step, we considered first order PDEs which correspond to these equations by introducing reduced characteristic Q that used in the Lie’s theory. Following this step, we tried to obtain solutions of the PDEs using their Lie point symmetries. But in this process, we met some difficulties, so by taking into account some assumptions we obtained the symmetries of ODEs which are in the special form, and also their solutions