On Darboux transformations for the derivative nonlinear Schr\"odinger   equation
  We consider Darboux transformations for the derivative nonlinear Schr\"odinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schr\"odinger equation are given as explicit examples. 
Jonathan J.C. Nimmo and Halis Yilmaz
nlin.SI