Abstract
The various regimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, and sinks. Here we provide three exact such patterns observed in numerical calculations but never found analytically. One is a quintic case localized homoclinic defect, observed by Popp etal. [S. Popp etal., Phys. Rev. Lett. 70, 3880 (1993)10.1103/PhysRevLett.70.3880], and the two others are bound states of two quintic dark solitons, observed by Afanasyev etal. [V. V. Afanasyev etal., Phys. Rev. E 57, 1088 (1998)10.1103/PhysRevE.57.1088].
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