  Exact expressions are obtained for a diversity of propagating patterns for a
derivative nonlinear Schr\"odinger equation with a quintic nonlinearity. These
patterns include bright pulses, fronts and dark solitons. The evolution of the
wave envelope is determined via a pair of integrals of motion, and reduction is
achieved to Jacobi elliptic cn and dn function representations. Numerical
simulations are performed to establish the existence of parameter ranges for
stability. The derivative quintic nonlinear Schr\"odinger model equations
investigated here are important in the analysis of strong optical signals
propagating in spatial or temporal waveguides.
