Darboux Transformation for Dirac Equations with (1+1) potentials
  We study the Darboux transformation (DT) for Dirac equations with (1+1) potentials. Exact solutions for the adiabatic external field are constructed. The connection between the exactly soluble Dirac (1+1) potentials and the soliton solutions of the Davey--Stewartson equations is discussed. 
A.V. Yurov