New Darboux Transformation for Hirota-Satsuma coupled KdV System

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTeX 2.09, 10 pages

Scientific paper

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: Painlev\'{e} 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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