Bäcklund transformations for Gelfand-Dickey flows, revisited

Chuu-Lian Terng, Zhiwei Wu

We construct Bäcklund transformations (BT) for the Gelfand-Dickey hierarchy (GD${}_n$-hierarchy) on the space of $n$-th order differential operators on the line. Suppose $L=\partial_…