Solutions and connections of nonlocal derivative nonlinear Schrodinger equations

All possible nonlocal versions of the derivative nonlinear Schrodinger equations are derived by the nonlocal reduction from the Chen-Lee-Liu equation, the Kaup-Newell equation and the Gerdjikov-Ivanov equation which are gauge equivalent to each other. Their solutions are obtained by composing constraint conditions on the double Wronskian solution of the Chen-Lee-Liu equation and the nonlocal analogues of the gauge transformations among them. Through the Jordan decomposition theorem, those solutions of the reduced equations from the Chen-Lee-Liu equation can be written as canonical form within real field.