4.7 Article

New Darboux transformation for Hirota-Satsuma coupled KdV system

Journal

CHAOS SOLITONS & FRACTALS
Volume 17, Issue 5, Pages 921-928

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(02)00309-0

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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.

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