Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2002-04-11
Chaos, Solitons and Fractals 17 (2003) 921-928
Nonlinear Sciences
Exactly Solvable and Integrable Systems
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.
Hu Heng Chun
Liu Qing-Ping
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