Title: Soliton solutions of the modified 2+1 chiral model Abstract: The modified $2+1$ chiral model is the following non-linear wave equation for $J:R^2\times R\to SU(n)$: $(J^{-1}J_t)_t - (J^{-1}J_x)_x - (J^{-1}J_y)_y - [J^{-1}J_t, J^{-1}J_y]=0,$ which is obtained from a dimension reduction and a gauge fixing from the self-dual Yang-Mills equation on $R^{2,2}$. In this talk, I will explain a joint work with Bo Dai on construction of all soliton solutions of this equation.