  A subset of traveling wave solutions of the quintic complex Ginzburg-Landau
equation (QCGLE) is presented in compact form. The approach consists of the
following parts. - Reduction of the QCGLE to a system of two ordinary
differential equations (ODEs) by a traveling wave ansatz. - Solution of the
system for two (ad hoc) cases relating phase and amplitude. - Presentation of
the solution for both cases in compact form. - Presentation of constraints for
bounded and for singular positive solutions by analyzing the analytical
properties of the solution by means of a phase diagram approach. The results
are exemplified numerically
