  Based on the degenerate Darboux transformation, the $n$-order smooth positon
solutions for the derivative nonlinear Schr\"{o}dinger equation are generated
by means of the general determinant expression of the $N$-soliton solution, and
interesting dynamic behaviors of the smooth positons are shown by the
corresponding three dimensional plots in this paper. Furthermore, the
decomposition process, bent trajectory and the change of the phase shift for
the positon solutions are discussed in detail. Additional, three kinds of mixed
solutions, namely (1) the hybrid of one-positon and two-positon solutions, (2)
the hybrid of two-positon and two-positon solutions, and (3) the hybrid of
one-soliton and three-positon solutions are presented and their rather
complicated dynamics are revealed.
