Dynamic processes in a domain wall (DW) moving under a constant magnetic field in a soft-magnetic uniaxial film with in-plane anisotropy were studied using three-dimensional micromagnetic modeling. It was shown that the nature of the dynamics of topological transformations occurring in the DW can vary significantly due to disturbing factors depending randomly on coordinates or on time (spatially inhomogeneous anisotropy; magnetic field fluctuating in time). At the same time, typical configurations of the magnetization field in the vicinity of intrafilm vortex cores and singular (Bloch) points retain their appearance. The dependences of the energies and displacements of the DWs on time are found for a wide range of film thicknesses, temperatures, and magnetic fields. When analyzing the magnetization configurations, visualization methods based on the calculation of two types of topological charges were used.