We investigate quantum motions of an electron driven by a strong time-dependent linear potential in a one-dimensional (1D) quantum wire. An exact
n wave-packet-train solution of Gaussian-type is constructed, whose center moves acceleratively along the corresponding classical trajectory. It is shown that the single Gaussian wave-packet solution recently reported by
Luan and Tang [P.-G. Luan, C.-S. Tang, Phys. Rev. A 71 (2005) 014101] is the special case
n