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Exact expressions are obtained for a diversity of propagating patterns for aderivative nonlinear Schr\"odinger equation with a quintic nonlinearity. Thesepatterns include bright pulses, fronts and dark solitons. The evolution of thewave envelope is determined via a pair of integrals of motion, and reduction isachieved to Jacobi elliptic cn and dn function representations. Numericalsimulations are performed to establish the existence of parameter ranges forstability. The derivative quintic nonlinear Schr\"odinger model equationsinvestigated here are important in the analysis of strong optical signalspropagating in spatial or temporal waveguides.

Propagating Wave Patterns in a Derivative Nonlinear Schr\"odinger System with Quintic Nonlinearity