A procedure on the first integrals of second-order nonlinear ordinary differential equations
EUROPEAN PHYSICAL JOURNAL PLUS, cilt.130, sa.12, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 130 Sayı: 12
- Basım Tarihi: 2015
- Doi Numarası: 10.1140/epjp/i2015-15240-0
- Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this article, we demonstrate the applicability of the integrating factor method to path equation describing minimum drag work, and a special Hamiltonian equation corresponding Riemann zeros for obtaining the first integrals. The effectiveness and powerfullness of this method is verified by applying it for two selected second-order nonlinear ordinary differential equations (NLODEs). As a result integrating factors and first integrals for them are succesfully established. The obtained results show that the integrating factor approach can also be applied to other NLODEs.