  We propose the initial single chiral particle emission mechanism, with which
the hidden-charm di-kaon decays of higher charmonia and charmonium-like states
are studied. Calculating the distributions of differential decay width, we
obtain the line shape of the $J/\psi K^+$ invariant mass spectrum of $\psi_i\to
J/\psi K^+K^-$, where $\psi_i=\psi(4415), Y(4660)$, and $\psi(4790)$. Our
numerical results show that there exist enhancement structures with both
hidden-charm and open-strange decays, which are near the
$D\bar{D}_s^*/D^*\bar{D}_s$ and $D^*\bar{D}_s^*/\bar{D}^*{D}_s^*$ thresholds.
These charged charmonium-like structures predicted in this Letter can be
accessible in future experiments, especially BESIII, BelleII, and SuperB.
