On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system.

A coupled Korteweg-de Vries system known as the Drinfeld-Sokolov-Satsuma-Hirota system is reconsidered. The Darboux transformation for this system constructed by Geng and Li [5] is understood by showing that it is equivalent to a particular reduction of the two-fold Darboux transformation. The iterations of this Darboux transformation are considered and the solutions of the Drinfeld-Sokolov-Satsuma-Hirota system are given in terms of determinants. As applications, some explicit solutions are calculated. [ABSTRACT FROM AUTHOR]