  An effective-field theory with correlations has been used to study the
hysteresis, susceptibility and compensation behaviors of the spin-1 hexagonal
Ising nanowire (HIN) with core-shell structure. The effects of the temperature,
crystal field, core-shell interfacial coupling and shell surface coupling are
investigated on hysteresis and compensation behaviors, in detail. When the
core-shell interfacial coupling is weak, the double and triple hysteresis loops
can be seen in the system. The hysteresis loops have different coercive field
points that the susceptibility make peak at these points. Moreover, we observed
that the system displays the Q-, R-, S-, P-, N- and W-types of compensation
behaviors according to Ne\'el classification nomenclature. Finally, the
obtaining results are compared with some experimental and theoretical results
and found a good agreement.
