New Darboux transformation for Hirota-Satsuma coupled KdV system

A new Darboux transformation (DT) is presented for the Hirota-Satsuma coupled KdV system. It is shown that this DT can be constructed by means of two methods: Painleve analysis and reduction of a binary DT. By iteration of the DT, the Grammian type solutions are found for the coupled KdV system. (C) 2003 Published by Elsevier Science Ltd.