New Darboux Transformation for Hirota-Satsuma coupled KdV System
Heng Chun Hu, Q. P. Liu
Abstract
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painlevé analysis and reduction of a binary Darboux transformation. By iteration of the Darboux transformation, the Grammian type solutions are found for the coupled KdV system.
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