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.
|Number of pages||10|
|Journal||Theoretical and Mathematical Physics|
|Publication status||Published - Nov 2003|
- KdV equation with self-consistent sources
- binary Darboux transformation