  With the advancement in synthesizing and analyzing Kitaev materials, the
Kitaev-Heisenberg model on the honeycomb lattice has attracted a lot of
attention in the last few years. Several variations, which include additional
anisotropic interactions as well as response to external magnetic field, have
been investigated and many exotic ordered phases have been discussed. On the
other hand, quantum spin systems are proving to be a fertile ground to realize
and study bosonic analogues of fermionic topological states of matter. Using
the spin-wave theory we show that the ferromagnetic phase of the extended
Kitaev-Heisenberg model hosts topological excitations. Along the zig-zag edge
of the honeycomb lattice we find chiral edge states, which are protected by a
non-zero Chern number topological invariant. We discuss two different scenarios
for the direction of the spin polarization namely $[001]$ and $[111]$, which
are motivated by possible directions of applied field. Dynamic structure
factor, accessible in scattering experiments, is shown to exhibit signatures of
these topological edge excitations. Furthermore, we show that in case of spin
polarization in $[001]$ direction, a topological phase transition occurs once
the Kitaev couplings are made anisotropic.
