  A new form of Darboux-B\"acklund transformation and its higher order form is
derived for Derivative Nonlinear Schrodinger Equation(DNLS). The new form
arises due to the different form of Lax pair. It is observed that by a special
choice of the eigenvalue of DB transformation one can generate a mixed form of
solution(containing both algebraic and exponential dependence on (x, t) can be
generated. On the other hand by adopting a new methodology due to Neugebauer
et. al. it is found that purely rational solution can be constructed. The two
different approach yields different class of solution and are compared.
