  Newly observed two charmed-strange resonances, $D_{s1}^*(2860)$ and
$D_{s3}^*(2860)$, are investigated by calculating their Okubo-Zweig-Iizuka
allowed strong decays, which shows that they are suitable candidates for the
$1^3D_1$ and $1^3D_3$ states in the charmed-strange meson family. Our study
also predicts other main decay modes of $D_{s1}^*(2860)$ and $D_{s3}^*(2860)$,
which can be accessible at the future experiment. In addition, the decay
behaviors of the spin partners of $D_{s1}^*(2860)$ and $D_{s3}^*(2860)$, i.e.,
$1D(2^-)$ and $1D^\prime(2^-)$, are predicted in this work, which are still
missing at present. Experimental search for the missing $1D(2^-)$ and
$1D^\prime(2^-)$ charmed-strange mesons is an intriguing and challenging task
for further experiment.
