  The axion-like particles with ultralight mass ($\sim10^{-22}$eV) can be a
possible candidate of dark matter, known as the fuzzy dark matter (FDM). These
particles form Bose-Einstein condensate in the early Universe which can explain
the dark matter density distribution in galaxies at the present time. We study
the time evolution of ultralight axion-like field in the near region of a
strong gravitational wave (GW) source, such as binary black hole merger. We
show that GWs can lead to the generation of field excitations in a spherical
shell about the source that eventually propagate out of the shell to minimize
the energy density of the field configuration. These excitations are generated
toward the end of the merger and in some cases even in the ringdown phase of
the merger, therefore it can provide a qualitatively distinct prediction for
changes in the GW waveform due to the presence of FDM. This would be helpful in
investigating the existence of FDM in galaxies.
