  We show that chiral symmetry breaking enables traveling domain wall solution
for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with
Dzyaloshinskii-Moriya interaction. In contrast to related domain wall models
including stray-field based anisotropy, traveling wave solutions are not found
in closed form. For the construction we follow a topological approach and
provide details of solutions by means of numerical calculations.
