https://doi.org/10.1140/epjp/i2015-15240-0
Regular Article
A procedure on the first integrals of second-order nonlinear ordinary differential equations
Uludag University, Faculty of Arts and Sciences, Department of Mathematics, 16059, Gorukle Bursa, Turkey
* e-mail: eyasar@uludag.edu.tr
Received:
22
September
2015
Accepted:
26
October
2015
Published online:
4
December
2015
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015
