  In this paper, we introduce a new approach to non-lightlike curve pairs by
using integral curves in Minkowski 3-space. We consider direction curve and
donor curve to study non-lightlike curve couples such as involute-evolute
curves, Mannheim partner curves and Bertrand partner curves. We obtain new
methods to construct partner curves of a unit speed non-lightlike curve and
give some applications related to helices and slant helices.
