Y. B. Zeng, Y. J. Shao, W. M. Xue, “Positon Solutions of the KdV Equation with Self-Consistent Sources”, TMF, 2003, Volume 137, Number 2,Pages <nobr>309

This article is cited in 5 papers

Positon Solutions of the KdV Equation with Self-Consistent Sources

Y. B. Zeng^a, Y. J. Shao^a, W. M. Xue^b

^a National Tsing Hua University
^b Hong Kong Baptist University

Abstract: We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.

Keywords: KdV equation with self-consistent sources, positon, binary Darboux transformation.

DOI: 10.4213/tmf274