Soliton, positon and negaton solutions to a Schrodinger self-consistent source equation

A Darboux transformation is furnished for a Schrodinger self-consistent source equation, along with a solution formula. Soliton, positon and negaton solutions to the Schrodinger self-consistent source equation are further constructed. The resulting solutions resemble those of the KdV equation with self-consistent sources, but the space and time variables are involved in a slightly different manner.