  Optical control of crystal structures is a promising route to change physical
properties including topological nature of a targeting material. Time-resolved
X-ray diffraction measurements using the X-ray free-electron laser are
performed to study the ultrafast lattice dynamics of VTe$_2$, which shows a
unique charge-density-wave (CDW) ordering coupled to the topological surface
states as a first-order phase transition. A significant oscillation of the CDW
amplitude mode is observed at a superlattice reflection as well as Bragg
reflections. The frequency of the oscillation is independent of the fluence of
the pumping laser, which is prominent to the CDW ordering of the first-order
phase transition. Furthermore, the timescale of the photoinduced
1$T^{\prime\prime}$ to 1$T$ phase transition is independent of the period of
the CDW amplitude mode.
