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

作者:Yasar Emrullah*; Yildirim Yakup
来源:European Physical Journal Plus, 2015, 130(12): 240.
DOI:10.1140/epjp/i2015-15240-0

摘要

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.

  • 出版日期2015-12-4