Measurements of $e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp }{\pi }^0$ and $K_S^0{K}^{\pm }{\pi }^{\mp }\eta$ at center-of-mass energies from $3.90$ to $4.60\mathrm{G}\mathrm{e}\mathrm{V}$

Using $5.2{\mathrm{f}\mathrm{b}}^{-1}$ $e^{+}{e}^{-}$ annihilation data samples collected with the BESIII detector, we measure the cross sections of $e^+e^- \to K_S^0 K^\pm \pi^\mp \pi^0$and$K_{S}^{0}K^{\pm}\pi^{\mp}\eta$ at center-of-mass energies from $3.90$ to $4.60$ GeV. In addition, we search for the charmonium-like resonance $Y(4260)$ decays into $K_S^0{K}^{\pm }{\pi }^{\mp }{\pi }^0$ and $K_S^0{K}^{\pm }{\pi }^{\mp }\eta$, and $Z_c^{0,\pm }(3900)$ decays into $K_S^0{K}^{\pm }{\pi }^{\mp ,0}$ and $K_S^0{K}^{\pm }\eta$. Corresponding upper limits are provided since no clear signal is observed.