Finding The Lie Symmetries of Some First-Order Odes Via Induced Characteristic

Mehmet Açil; Ali Konuralp; Necdet Bildik

Makale detayları

Finding The Lie Symmetries of Some First-Order Odes Via Induced Characteristic

Yazarlar:

Mehmet Açil | Ali Konuralp | Necdet Bildik

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2017 Vol.13 Issue 2, pp.275-278

Belge Tipi:

Makale

Yayın Tarihi:

6/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000706501

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X

Özet:

 


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.  




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Makale detayları

Finding The Lie Symmetries of Some First-Order Odes Via Induced Characteristic

Yazarlar: Mehmet Açil | Ali Konuralp | Necdet Bildik

Yayıncı: Celal Bayar University

Ana Başlıklar: Uygulamalı fizik

Dergi: Celal Bayar University Journal of Science 2017 Vol.13 Issue 2, pp.275-278

Belge Tipi: Makale

Yayın Tarihi: 6/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000706501

Sıklık: Üç Aylık

eISSN: 1305-1385

pISSN: 1305-130X

Sayı

Yazarlar:

Mehmet Açil | Ali Konuralp | Necdet Bildik

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2017 Vol.13 Issue 2, pp.275-278

Belge Tipi:

Makale

Yayın Tarihi:

6/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000706501

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X