A procedure on the first integrals of second-order nonlinear ordinary differential equations


YAŞAR E., Yildirim Y.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.130, no.12, 2015 (SCI-Expanded) identifier identifier

Abstract

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.