Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D⁽¹⁾_n, B⁽¹⁾_n, A⁽²⁾_(2n-1)

We calculate the image of the combinatorial R-matrix for any classical highest weight element in the tensor product of Kirillov--Reshetikhin crystals $B^{r,k}\otimes B^{1,l}$ of type $D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}$. The notion of $\pm$-diagrams is effectively used for the identification of classical highest weight elements in $B^{1,l}\otimes B^{r,k}$.