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New Darboux Transformation for Hirota-Satsuma coupled KdV System

Heng Chun Hu·Q. P. Liu
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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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Heng Chun Hu, Q. P. Liu. 2002-04-11. New Darboux Transformation for Hirota-Satsuma coupled KdV System. https://doi.org/10.1016/s0960-0779(02)00309-0

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