Darboux Transforms for the ${\hat{B}}_n^{(1)}$-hierarchy

Chuu-Lian Terng, Zhiwei Wu

The ${\hat{B}}_n^{(1)}$-hierarchy is constructed from the standard splitting of the affine Kac-Moody algebra ${\hat{B}}_n^{(1)}$, the Drinfeld-Sokolov ${\hat{B}}_n^{(1)}$-KdV hierarchy is o…