New Darboux Transformation for Hirota-Satsuma coupled KdV System

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.

LaTeX 2.09, 10 pages

References in corpus (1)

• Unified approach to Miura, Bäcklund and Darboux transformations for nonlinear partial differential equations

Cited by in corpus (2)

• Nonsingular positon and complexiton solutions for the coupled KdV system
• Nonlocal KdV Equations